What is the Greatest Common Factor of 61504 and 61516?

Greatest common factor (GCF) of 61504 and 61516 is 4.

GCF(61504,61516) = 4

We will now calculate the prime factors of 61504 and 61516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61504 and 61516.

How to find the GCF of 61504 and 61516?

We will first find the prime factorization of 61504 and 61516. After we will calculate the factors of 61504 and 61516 and find the biggest common factor number .

Step-1: Prime Factorization of 61504

Prime factors of 61504 are 2, 31. Prime factorization of 61504 in exponential form is:

61504 = 2⁶ × 31²

Step-2: 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-3: Factors of 61504

List of positive integer factors of 61504 that divides 61504 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 961, 992, 1922, 1984, 3844, 7688, 15376, 30752

Step-4: Factors of 61516

List of positive integer factors of 61516 that divides 61504 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61504 and 61516. The biggest common factor number is the GCF number.
So the greatest common factor 61504 and 61516 is 4.

Also check out the Least Common Multiple of 61504 and 61516