What is the Greatest Common Factor of 52974 and 52978?

Greatest common factor (GCF) of 52974 and 52978 is 2.

GCF(52974,52978) = 2

We will now calculate the prime factors of 52974 and 52978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52974 and 52978.

How to find the GCF of 52974 and 52978?

We will first find the prime factorization of 52974 and 52978. After we will calculate the factors of 52974 and 52978 and find the biggest common factor number .

Step-1: Prime Factorization of 52974

Prime factors of 52974 are 2, 3, 109. Prime factorization of 52974 in exponential form is:

52974 = 2¹ × 3⁵ × 109¹

Step-2: Prime Factorization of 52978

Prime factors of 52978 are 2, 26489. Prime factorization of 52978 in exponential form is:

52978 = 2¹ × 26489¹

Step-3: Factors of 52974

List of positive integer factors of 52974 that divides 52974 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 109, 162, 218, 243, 327, 486, 654, 981, 1962, 2943, 5886, 8829, 17658, 26487

Step-4: Factors of 52978

List of positive integer factors of 52978 that divides 52974 without a remainder.

1, 2, 26489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52974 and 52978. The biggest common factor number is the GCF number.
So the greatest common factor 52974 and 52978 is 2.

Also check out the Least Common Multiple of 52974 and 52978