What is the Greatest Common Factor of 95008 and 95022?

Greatest common factor (GCF) of 95008 and 95022 is 2.

GCF(95008,95022) = 2

We will now calculate the prime factors of 95008 and 95022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95008 and 95022.

How to find the GCF of 95008 and 95022?

We will first find the prime factorization of 95008 and 95022. After we will calculate the factors of 95008 and 95022 and find the biggest common factor number .

Step-1: Prime Factorization of 95008

Prime factors of 95008 are 2, 2969. Prime factorization of 95008 in exponential form is:

95008 = 2⁵ × 2969¹

Step-2: Prime Factorization of 95022

Prime factors of 95022 are 2, 3, 5279. Prime factorization of 95022 in exponential form is:

95022 = 2¹ × 3² × 5279¹

Step-3: Factors of 95008

List of positive integer factors of 95008 that divides 95008 without a remainder.

1, 2, 4, 8, 16, 32, 2969, 5938, 11876, 23752, 47504

Step-4: Factors of 95022

List of positive integer factors of 95022 that divides 95008 without a remainder.

1, 2, 3, 6, 9, 18, 5279, 10558, 15837, 31674, 47511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95008 and 95022. The biggest common factor number is the GCF number.
So the greatest common factor 95008 and 95022 is 2.

Also check out the Least Common Multiple of 95008 and 95022