What is the Greatest Common Factor of 8974 and 8988?

Greatest common factor (GCF) of 8974 and 8988 is 14.

GCF(8974,8988) = 14

We will now calculate the prime factors of 8974 and 8988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8974 and 8988.

How to find the GCF of 8974 and 8988?

We will first find the prime factorization of 8974 and 8988. After we will calculate the factors of 8974 and 8988 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 8988

Prime factors of 8988 are 2, 3, 7, 107. Prime factorization of 8988 in exponential form is:

8988 = 2² × 3¹ × 7¹ × 107¹

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 8988

List of positive integer factors of 8988 that divides 8974 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 107, 214, 321, 428, 642, 749, 1284, 1498, 2247, 2996, 4494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8974 and 8988. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8988 is 14.

Also check out the Least Common Multiple of 8974 and 8988