What is the Greatest Common Factor of 8974 and 8982?

Greatest common factor (GCF) of 8974 and 8982 is 2.

GCF(8974,8982) = 2

We will now calculate the prime factors of 8974 and 8982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8974 and 8982.

How to find the GCF of 8974 and 8982?

We will first find the prime factorization of 8974 and 8982. After we will calculate the factors of 8974 and 8982 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 8982

Prime factors of 8982 are 2, 3, 499. Prime factorization of 8982 in exponential form is:

8982 = 2¹ × 3² × 499¹

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 8982

List of positive integer factors of 8982 that divides 8974 without a remainder.

1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8974 and 8982. The biggest common factor number is the GCF number.
So the greatest common factor 8974 and 8982 is 2.

Also check out the Least Common Multiple of 8974 and 8982