What is the Greatest Common Factor of 22974 and 22982?

Greatest common factor (GCF) of 22974 and 22982 is 2.

GCF(22974,22982) = 2

We will now calculate the prime factors of 22974 and 22982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22974 and 22982.

How to find the GCF of 22974 and 22982?

We will first find the prime factorization of 22974 and 22982. After we will calculate the factors of 22974 and 22982 and find the biggest common factor number .

Step-1: Prime Factorization of 22974

Prime factors of 22974 are 2, 3, 7, 547. Prime factorization of 22974 in exponential form is:

22974 = 2¹ × 3¹ × 7¹ × 547¹

Step-2: Prime Factorization of 22982

Prime factors of 22982 are 2, 11491. Prime factorization of 22982 in exponential form is:

22982 = 2¹ × 11491¹

Step-3: Factors of 22974

List of positive integer factors of 22974 that divides 22974 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 547, 1094, 1641, 3282, 3829, 7658, 11487

Step-4: Factors of 22982

List of positive integer factors of 22982 that divides 22974 without a remainder.

1, 2, 11491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22974 and 22982. The biggest common factor number is the GCF number.
So the greatest common factor 22974 and 22982 is 2.

Also check out the Least Common Multiple of 22974 and 22982