What is the Greatest Common Factor of 8974 and 8992?

Greatest common factor (GCF) of 8974 and 8992 is 2.

GCF(8974,8992) = 2

We will now calculate the prime factors of 8974 and 8992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8974 and 8992.

How to find the GCF of 8974 and 8992?

We will first find the prime factorization of 8974 and 8992. After we will calculate the factors of 8974 and 8992 and find the biggest common factor number .

Step-1: Prime Factorization of 8974

Prime factors of 8974 are 2, 7, 641. Prime factorization of 8974 in exponential form is:

8974 = 2¹ × 7¹ × 641¹

Step-2: Prime Factorization of 8992

Prime factors of 8992 are 2, 281. Prime factorization of 8992 in exponential form is:

8992 = 2⁵ × 281¹

Step-3: Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1, 2, 7, 14, 641, 1282, 4487

Step-4: Factors of 8992

List of positive integer factors of 8992 that divides 8974 without a remainder.

1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8974 and 8992. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8992 is 2.

Also check out the Least Common Multiple of 8974 and 8992