What is the Greatest Common Factor of 95296 and 95312?

Greatest common factor (GCF) of 95296 and 95312 is 16.

GCF(95296,95312) = 16

We will now calculate the prime factors of 95296 and 95312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95296 and 95312.

How to find the GCF of 95296 and 95312?

We will first find the prime factorization of 95296 and 95312. After we will calculate the factors of 95296 and 95312 and find the biggest common factor number .

Step-1: Prime Factorization of 95296

Prime factors of 95296 are 2, 1489. Prime factorization of 95296 in exponential form is:

95296 = 2⁶ × 1489¹

Step-2: 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-3: Factors of 95296

List of positive integer factors of 95296 that divides 95296 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1489, 2978, 5956, 11912, 23824, 47648

Step-4: Factors of 95312

List of positive integer factors of 95312 that divides 95296 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95296 and 95312. The biggest common factor number is the GCF number.
So the greatest common factor 95296 and 95312 is 16.

Also check out the Least Common Multiple of 95296 and 95312