What is the Greatest Common Factor of 90956 and 90972?

Greatest common factor (GCF) of 90956 and 90972 is 4.

GCF(90956,90972) = 4

We will now calculate the prime factors of 90956 and 90972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90956 and 90972.

How to find the GCF of 90956 and 90972?

We will first find the prime factorization of 90956 and 90972. After we will calculate the factors of 90956 and 90972 and find the biggest common factor number .

Step-1: Prime Factorization of 90956

Prime factors of 90956 are 2, 22739. Prime factorization of 90956 in exponential form is:

90956 = 2² × 22739¹

Step-2: Prime Factorization of 90972

Prime factors of 90972 are 2, 3, 7, 19. Prime factorization of 90972 in exponential form is:

90972 = 2² × 3² × 7¹ × 19²

Step-3: Factors of 90956

List of positive integer factors of 90956 that divides 90956 without a remainder.

1, 2, 4, 22739, 45478

Step-4: Factors of 90972

List of positive integer factors of 90972 that divides 90956 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 361, 399, 532, 684, 722, 798, 1083, 1197, 1444, 1596, 2166, 2394, 2527, 3249, 4332, 4788, 5054, 6498, 7581, 10108, 12996, 15162, 22743, 30324, 45486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90956 and 90972. The biggest common factor number is the GCF number.
So the greatest common factor 90956 and 90972 is 4.

Also check out the Least Common Multiple of 90956 and 90972