The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
How do you find the largest factor?
List the prime factors that are common to each of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get the GCF .
Is 1 the smallest factor of any number?
1 is the smallest factor of every number.
What is the greatest factor of 12?
Finding the Greatest Common Factor
| Two Numbers | Factors | Greatest Common Factor |
|---|---|---|
| 9 and 12 | 9: 1, 3, 9 12: 1, 2, 3, 4, 6, 12 | 3 |
What is the GCF of 2 and 9?
What is the Greatest Common Factor of 2 and 9? Greatest common factor (GCF) of 2 and 9 is 1.
What is the GCF of 12 and 18?
Example 1: 6 is the greatest common factor of 12 and 18.
What is the HCF of 15 and 50?
The prime factorization of 50 is: 2 x 5 x 5. The prime factors and multiplicities 15 and 50 have in common are: 5. 5 is the gcf of 15 and 50. gcf(15,50) = 5.
Which is the smallest factor of 15?
Answer. As we can see 1 is the smallest number. So 1 is the smallest factor of 15.
What is the smallest factor of?
The factors of a number are the numbers that divide evenly into the number. For example the factors of the number 12 are the numbers 1, 2, 3, 4, 6 and 12. (Notice that the smallest factor is always 1 and the biggest factor is always the number itself.)
What is the GCF of 15 and 27?
What is the Greatest Common Factor of 15 and 27? Greatest common factor (GCF) of 15 and 27 is 3. We will now calculate the prime factors of 15 and 27, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15 and 27.
What is the GCF of 15 and 30?
Example: What is the greatest common factor of 15 and 30? The common factors of 15 and 30 are 1, 3, 5, and 15. The greatest common factor is 15.
What is the GCF of 27 and 30?
Answer: GCF of 27 and 30 is 3
GCF of 27 and 30 is the highest number that divides 27 and 30 exactly leaving the remainder 0.
What is the GCF of 18 and 24?
18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is the GCF of 9 and 3?
Greatest common factor (GCF) of 3 and 9 is 3.
What is the GCF of 9 and 18?
Answer: GCF of 9 and 18 is 9.