What is the Greatest Common Factor of 92976 and 92993?

Greatest common factor (GCF) of 92976 and 92993 is 1.

GCF(92976,92993) = 1

We will now calculate the prime factors of 92976 and 92993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92976 and 92993.

How to find the GCF of 92976 and 92993?

We will first find the prime factorization of 92976 and 92993. After we will calculate the factors of 92976 and 92993 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 92993

Prime factors of 92993 are 92993. Prime factorization of 92993 in exponential form is:

92993 = 92993¹

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 92993

List of positive integer factors of 92993 that divides 92976 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92976 and 92993. The biggest common factor number is the GCF number.
So the greatest common factor 92976 and 92993 is 1.

Also check out the Least Common Multiple of 92976 and 92993