What is the Greatest Common Factor of 9672 and 9687?

Greatest common factor (GCF) of 9672 and 9687 is 3.

GCF(9672,9687) = 3

We will now calculate the prime factors of 9672 and 9687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9672 and 9687.

How to find the GCF of 9672 and 9687?

We will first find the prime factorization of 9672 and 9687. After we will calculate the factors of 9672 and 9687 and find the biggest common factor number .

Step-1: Prime Factorization of 9672

Prime factors of 9672 are 2, 3, 13, 31. Prime factorization of 9672 in exponential form is:

9672 = 2³ × 3¹ × 13¹ × 31¹

Step-2: Prime Factorization of 9687

Prime factors of 9687 are 3, 3229. Prime factorization of 9687 in exponential form is:

9687 = 3¹ × 3229¹

Step-3: Factors of 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836

Step-4: Factors of 9687

List of positive integer factors of 9687 that divides 9672 without a remainder.

1, 3, 3229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9672 and 9687. The biggest common factor number is the GCF number.
So the greatest common factor 9672 and 9687 is 3.

Also check out the Least Common Multiple of 9672 and 9687