What is the Greatest Common Factor of 92960 and 92974?

Greatest common factor (GCF) of 92960 and 92974 is 14.

GCF(92960,92974) = 14

We will now calculate the prime factors of 92960 and 92974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92960 and 92974.

How to find the GCF of 92960 and 92974?

We will first find the prime factorization of 92960 and 92974. After we will calculate the factors of 92960 and 92974 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 92974

Prime factors of 92974 are 2, 7, 29, 229. Prime factorization of 92974 in exponential form is:

92974 = 2¹ × 7¹ × 29¹ × 229¹

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 92974

List of positive integer factors of 92974 that divides 92960 without a remainder.

1, 2, 7, 14, 29, 58, 203, 229, 406, 458, 1603, 3206, 6641, 13282, 46487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92960 and 92974. The biggest common factor number is the GCF number.
So the greatest common factor 92960 and 92974 is 14.

Also check out the Least Common Multiple of 92960 and 92974