What is the Greatest Common Factor of 75988 and 76008?

Greatest common factor (GCF) of 75988 and 76008 is 4.

GCF(75988,76008) = 4

We will now calculate the prime factors of 75988 and 76008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75988 and 76008.

How to find the GCF of 75988 and 76008?

We will first find the prime factorization of 75988 and 76008. After we will calculate the factors of 75988 and 76008 and find the biggest common factor number .

Step-1: Prime Factorization of 75988

Prime factors of 75988 are 2, 11, 157. Prime factorization of 75988 in exponential form is:

75988 = 2² × 11² × 157¹

Step-2: Prime Factorization of 76008

Prime factors of 76008 are 2, 3, 3167. Prime factorization of 76008 in exponential form is:

76008 = 2³ × 3¹ × 3167¹

Step-3: Factors of 75988

List of positive integer factors of 75988 that divides 75988 without a remainder.

1, 2, 4, 11, 22, 44, 121, 157, 242, 314, 484, 628, 1727, 3454, 6908, 18997, 37994

Step-4: Factors of 76008

List of positive integer factors of 76008 that divides 75988 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3167, 6334, 9501, 12668, 19002, 25336, 38004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75988 and 76008. The biggest common factor number is the GCF number.
So the greatest common factor 75988 and 76008 is 4.

Also check out the Least Common Multiple of 75988 and 76008