What is the Greatest Common Factor of 95316 and 95329?

Greatest common factor (GCF) of 95316 and 95329 is 13.

GCF(95316,95329) = 13

We will now calculate the prime factors of 95316 and 95329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95316 and 95329.

How to find the GCF of 95316 and 95329?

We will first find the prime factorization of 95316 and 95329. After we will calculate the factors of 95316 and 95329 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95329

Prime factors of 95329 are 13, 7333. Prime factorization of 95329 in exponential form is:

95329 = 13¹ × 7333¹

Step-3: Factors of 95316

List of positive integer factors of 95316 that divides 95316 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

Step-4: Factors of 95329

List of positive integer factors of 95329 that divides 95316 without a remainder.

1, 13, 7333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95316 and 95329. The biggest common factor number is the GCF number.
So the greatest common factor 95316 and 95329 is 13.

Also check out the Least Common Multiple of 95316 and 95329