What is the Greatest Common Factor of 95312 and 95320?

Greatest common factor (GCF) of 95312 and 95320 is 8.

GCF(95312,95320) = 8

We will now calculate the prime factors of 95312 and 95320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95312 and 95320.

How to find the GCF of 95312 and 95320?

We will first find the prime factorization of 95312 and 95320. After we will calculate the factors of 95312 and 95320 and find the biggest common factor number .

Step-1: Prime Factorization of 95312

Prime factors of 95312 are 2, 7, 23, 37. Prime factorization of 95312 in exponential form is:

95312 = 2⁴ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 95320

Prime factors of 95320 are 2, 5, 2383. Prime factorization of 95320 in exponential form is:

95320 = 2³ × 5¹ × 2383¹

Step-3: Factors of 95312

List of positive integer factors of 95312 that divides 95312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 37, 46, 56, 74, 92, 112, 148, 161, 184, 259, 296, 322, 368, 518, 592, 644, 851, 1036, 1288, 1702, 2072, 2576, 3404, 4144, 5957, 6808, 11914, 13616, 23828, 47656

Step-4: Factors of 95320

List of positive integer factors of 95320 that divides 95312 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2383, 4766, 9532, 11915, 19064, 23830, 47660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95312 and 95320. The biggest common factor number is the GCF number.
So the greatest common factor 95312 and 95320 is 8.

Also check out the Least Common Multiple of 95312 and 95320