What is the Greatest Common Factor of 92976 and 92984?

Greatest common factor (GCF) of 92976 and 92984 is 8.

GCF(92976,92984) = 8

We will now calculate the prime factors of 92976 and 92984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92976 and 92984.

How to find the GCF of 92976 and 92984?

We will first find the prime factorization of 92976 and 92984. After we will calculate the factors of 92976 and 92984 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92984

Prime factors of 92984 are 2, 59, 197. Prime factorization of 92984 in exponential form is:

92984 = 2³ × 59¹ × 197¹

Step-3: Factors of 92976

List of positive integer factors of 92976 that divides 92976 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

Step-4: Factors of 92984

List of positive integer factors of 92984 that divides 92976 without a remainder.

1, 2, 4, 8, 59, 118, 197, 236, 394, 472, 788, 1576, 11623, 23246, 46492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92976 and 92984. The biggest common factor number is the GCF number.
So the greatest common factor 92976 and 92984 is 8.

Also check out the Least Common Multiple of 92976 and 92984