What is the Greatest Common Factor of 75960 and 75976?

Greatest common factor (GCF) of 75960 and 75976 is 8.

GCF(75960,75976) = 8

We will now calculate the prime factors of 75960 and 75976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75960 and 75976.

How to find the GCF of 75960 and 75976?

We will first find the prime factorization of 75960 and 75976. After we will calculate the factors of 75960 and 75976 and find the biggest common factor number .

Step-1: Prime Factorization of 75960

Prime factors of 75960 are 2, 3, 5, 211. Prime factorization of 75960 in exponential form is:

75960 = 2³ × 3² × 5¹ × 211¹

Step-2: Prime Factorization of 75976

Prime factors of 75976 are 2, 9497. Prime factorization of 75976 in exponential form is:

75976 = 2³ × 9497¹

Step-3: Factors of 75960

List of positive integer factors of 75960 that divides 75960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 211, 360, 422, 633, 844, 1055, 1266, 1688, 1899, 2110, 2532, 3165, 3798, 4220, 5064, 6330, 7596, 8440, 9495, 12660, 15192, 18990, 25320, 37980

Step-4: Factors of 75976

List of positive integer factors of 75976 that divides 75960 without a remainder.

1, 2, 4, 8, 9497, 18994, 37988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75960 and 75976. The biggest common factor number is the GCF number.
So the greatest common factor 75960 and 75976 is 8.

Also check out the Least Common Multiple of 75960 and 75976