What is the Greatest Common Factor of 92970 and 92976?

Greatest common factor (GCF) of 92970 and 92976 is 6.

GCF(92970,92976) = 6

We will now calculate the prime factors of 92970 and 92976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92970 and 92976.

How to find the GCF of 92970 and 92976?

We will first find the prime factorization of 92970 and 92976. After we will calculate the factors of 92970 and 92976 and find the biggest common factor number .

Step-1: Prime Factorization of 92970

Prime factors of 92970 are 2, 3, 5, 1033. Prime factorization of 92970 in exponential form is:

92970 = 2¹ × 3² × 5¹ × 1033¹

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 92970

List of positive integer factors of 92970 that divides 92970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 1033, 2066, 3099, 5165, 6198, 9297, 10330, 15495, 18594, 30990, 46485

Step-4: Factors of 92976

List of positive integer factors of 92976 that divides 92970 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 92970 and 92976. The biggest common factor number is the GCF number.
So the greatest common factor 92970 and 92976 is 6.

Also check out the Least Common Multiple of 92970 and 92976