What is the Greatest Common Factor of 95508 and 95512?

Greatest common factor (GCF) of 95508 and 95512 is 4.

GCF(95508,95512) = 4

We will now calculate the prime factors of 95508 and 95512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95508 and 95512.

How to find the GCF of 95508 and 95512?

We will first find the prime factorization of 95508 and 95512. After we will calculate the factors of 95508 and 95512 and find the biggest common factor number .

Step-1: Prime Factorization of 95508

Prime factors of 95508 are 2, 3, 7, 379. Prime factorization of 95508 in exponential form is:

95508 = 2² × 3² × 7¹ × 379¹

Step-2: Prime Factorization of 95512

Prime factors of 95512 are 2, 11939. Prime factorization of 95512 in exponential form is:

95512 = 2³ × 11939¹

Step-3: Factors of 95508

List of positive integer factors of 95508 that divides 95508 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 379, 758, 1137, 1516, 2274, 2653, 3411, 4548, 5306, 6822, 7959, 10612, 13644, 15918, 23877, 31836, 47754

Step-4: Factors of 95512

List of positive integer factors of 95512 that divides 95508 without a remainder.

1, 2, 4, 8, 11939, 23878, 47756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95508 and 95512. The biggest common factor number is the GCF number.
So the greatest common factor 95508 and 95512 is 4.

Also check out the Least Common Multiple of 95508 and 95512