What is the Greatest Common Factor of 92960 and 92968?

Greatest common factor (GCF) of 92960 and 92968 is 8.

GCF(92960,92968) = 8

We will now calculate the prime factors of 92960 and 92968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92960 and 92968.

How to find the GCF of 92960 and 92968?

We will first find the prime factorization of 92960 and 92968. After we will calculate the factors of 92960 and 92968 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 92968

Prime factors of 92968 are 2, 11621. Prime factorization of 92968 in exponential form is:

92968 = 2³ × 11621¹

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 92968

List of positive integer factors of 92968 that divides 92960 without a remainder.

1, 2, 4, 8, 11621, 23242, 46484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92960 and 92968. The biggest common factor number is the GCF number.
So the greatest common factor 92960 and 92968 is 8.

Also check out the Least Common Multiple of 92960 and 92968