What is the Greatest Common Factor of 95896 and 95908?

Greatest common factor (GCF) of 95896 and 95908 is 4.

GCF(95896,95908) = 4

We will now calculate the prime factors of 95896 and 95908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95896 and 95908.

How to find the GCF of 95896 and 95908?

We will first find the prime factorization of 95896 and 95908. After we will calculate the factors of 95896 and 95908 and find the biggest common factor number .

Step-1: Prime Factorization of 95896

Prime factors of 95896 are 2, 11987. Prime factorization of 95896 in exponential form is:

95896 = 2³ × 11987¹

Step-2: Prime Factorization of 95908

Prime factors of 95908 are 2, 23977. Prime factorization of 95908 in exponential form is:

95908 = 2² × 23977¹

Step-3: Factors of 95896

List of positive integer factors of 95896 that divides 95896 without a remainder.

1, 2, 4, 8, 11987, 23974, 47948

Step-4: Factors of 95908

List of positive integer factors of 95908 that divides 95896 without a remainder.

1, 2, 4, 23977, 47954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95896 and 95908. The biggest common factor number is the GCF number.
So the greatest common factor 95896 and 95908 is 4.

Also check out the Least Common Multiple of 95896 and 95908