What is the Greatest Common Factor of 61504 and 61520?

Greatest common factor (GCF) of 61504 and 61520 is 16.

GCF(61504,61520) = 16

We will now calculate the prime factors of 61504 and 61520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61504 and 61520.

How to find the GCF of 61504 and 61520?

We will first find the prime factorization of 61504 and 61520. After we will calculate the factors of 61504 and 61520 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 61520

Prime factors of 61520 are 2, 5, 769. Prime factorization of 61520 in exponential form is:

61520 = 2⁴ × 5¹ × 769¹

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 61520

List of positive integer factors of 61520 that divides 61504 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 769, 1538, 3076, 3845, 6152, 7690, 12304, 15380, 30760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61504 and 61520. The biggest common factor number is the GCF number.
So the greatest common factor 61504 and 61520 is 16.

Also check out the Least Common Multiple of 61504 and 61520