What is the Greatest Common Factor of 95296 and 95304?

Greatest common factor (GCF) of 95296 and 95304 is 8.

GCF(95296,95304) = 8

We will now calculate the prime factors of 95296 and 95304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95296 and 95304.

How to find the GCF of 95296 and 95304?

We will first find the prime factorization of 95296 and 95304. After we will calculate the factors of 95296 and 95304 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 95304

Prime factors of 95304 are 2, 3, 11, 19. Prime factorization of 95304 in exponential form is:

95304 = 2³ × 3¹ × 11¹ × 19²

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 95304

List of positive integer factors of 95304 that divides 95296 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 361, 418, 456, 627, 722, 836, 1083, 1254, 1444, 1672, 2166, 2508, 2888, 3971, 4332, 5016, 7942, 8664, 11913, 15884, 23826, 31768, 47652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95296 and 95304. The biggest common factor number is the GCF number.
So the greatest common factor 95296 and 95304 is 8.

Also check out the Least Common Multiple of 95296 and 95304