What is the Greatest Common Factor of 8672 and 8692?

Greatest common factor (GCF) of 8672 and 8692 is 4.

GCF(8672,8692) = 4

We will now calculate the prime factors of 8672 and 8692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8672 and 8692.

How to find the GCF of 8672 and 8692?

We will first find the prime factorization of 8672 and 8692. After we will calculate the factors of 8672 and 8692 and find the biggest common factor number .

Step-1: Prime Factorization of 8672

Prime factors of 8672 are 2, 271. Prime factorization of 8672 in exponential form is:

8672 = 2⁵ × 271¹

Step-2: Prime Factorization of 8692

Prime factors of 8692 are 2, 41, 53. Prime factorization of 8692 in exponential form is:

8692 = 2² × 41¹ × 53¹

Step-3: Factors of 8672

List of positive integer factors of 8672 that divides 8672 without a remainder.

1, 2, 4, 8, 16, 32, 271, 542, 1084, 2168, 4336

Step-4: Factors of 8692

List of positive integer factors of 8692 that divides 8672 without a remainder.

1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8672 and 8692. The biggest common factor number is the GCF number.
So the greatest common factor 8672 and 8692 is 4.

Also check out the Least Common Multiple of 8672 and 8692