What is the Greatest Common Factor of 95296 and 95316?

Greatest common factor (GCF) of 95296 and 95316 is 4.

GCF(95296,95316) = 4

We will now calculate the prime factors of 95296 and 95316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95296 and 95316.

How to find the GCF of 95296 and 95316?

We will first find the prime factorization of 95296 and 95316. After we will calculate the factors of 95296 and 95316 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 95316

Prime factors of 95316 are 2, 3, 13, 47. Prime factorization of 95316 in exponential form is:

95316 = 2² × 3¹ × 13² × 47¹

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 95316

List of positive integer factors of 95316 that divides 95296 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 47, 52, 78, 94, 141, 156, 169, 188, 282, 338, 507, 564, 611, 676, 1014, 1222, 1833, 2028, 2444, 3666, 7332, 7943, 15886, 23829, 31772, 47658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95296 and 95316. The biggest common factor number is the GCF number.
So the greatest common factor 95296 and 95316 is 4.

Also check out the Least Common Multiple of 95296 and 95316