What is the Greatest Common Factor of 92972 and 92976?

Greatest common factor (GCF) of 92972 and 92976 is 4.

GCF(92972,92976) = 4

We will now calculate the prime factors of 92972 and 92976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92972 and 92976.

How to find the GCF of 92972 and 92976?

We will first find the prime factorization of 92972 and 92976. After we will calculate the factors of 92972 and 92976 and find the biggest common factor number .

Step-1: Prime Factorization of 92972

Prime factors of 92972 are 2, 11, 2113. Prime factorization of 92972 in exponential form is:

92972 = 2² × 11¹ × 2113¹

Step-2: Prime Factorization of 92976

Prime factors of 92976 are 2, 3, 13, 149. Prime factorization of 92976 in exponential form is:

92976 = 2⁴ × 3¹ × 13¹ × 149¹

Step-3: Factors of 92972

List of positive integer factors of 92972 that divides 92972 without a remainder.

1, 2, 4, 11, 22, 44, 2113, 4226, 8452, 23243, 46486

Step-4: Factors of 92976

List of positive integer factors of 92976 that divides 92972 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 149, 156, 208, 298, 312, 447, 596, 624, 894, 1192, 1788, 1937, 2384, 3576, 3874, 5811, 7152, 7748, 11622, 15496, 23244, 30992, 46488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92972 and 92976. The biggest common factor number is the GCF number.
So the greatest common factor 92972 and 92976 is 4.

Also check out the Least Common Multiple of 92972 and 92976