What is the Greatest Common Factor of 92960 and 92976?

Greatest common factor (GCF) of 92960 and 92976 is 16.

GCF(92960,92976) = 16

We will now calculate the prime factors of 92960 and 92976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92960 and 92976.

How to find the GCF of 92960 and 92976?

We will first find the prime factorization of 92960 and 92976. After we will calculate the factors of 92960 and 92976 and find the biggest common factor number .

Step-1: Prime Factorization of 92960

Prime factors of 92960 are 2, 5, 7, 83. Prime factorization of 92960 in exponential form is:

92960 = 2⁵ × 5¹ × 7¹ × 83¹

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 92960

List of positive integer factors of 92960 that divides 92960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 83, 112, 140, 160, 166, 224, 280, 332, 415, 560, 581, 664, 830, 1120, 1162, 1328, 1660, 2324, 2656, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 13280, 18592, 23240, 46480

Step-4: Factors of 92976

List of positive integer factors of 92976 that divides 92960 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 92960 and 92976. The biggest common factor number is the GCF number.
So the greatest common factor 92960 and 92976 is 16.

Also check out the Least Common Multiple of 92960 and 92976