What is the Greatest Common Factor of 61516 and 61529?

Greatest common factor (GCF) of 61516 and 61529 is 13.

GCF(61516,61529) = 13

We will now calculate the prime factors of 61516 and 61529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61516 and 61529.

How to find the GCF of 61516 and 61529?

We will first find the prime factorization of 61516 and 61529. After we will calculate the factors of 61516 and 61529 and find the biggest common factor number .

Step-1: Prime Factorization of 61516

Prime factors of 61516 are 2, 7, 13. Prime factorization of 61516 in exponential form is:

61516 = 2² × 7¹ × 13³

Step-2: Prime Factorization of 61529

Prime factors of 61529 are 13, 4733. Prime factorization of 61529 in exponential form is:

61529 = 13¹ × 4733¹

Step-3: Factors of 61516

List of positive integer factors of 61516 that divides 61516 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2197, 2366, 4394, 4732, 8788, 15379, 30758

Step-4: Factors of 61529

List of positive integer factors of 61529 that divides 61516 without a remainder.

1, 13, 4733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61516 and 61529. The biggest common factor number is the GCF number.
So the greatest common factor 61516 and 61529 is 13.

Also check out the Least Common Multiple of 61516 and 61529