What is the Greatest Common Factor of 61508 and 61520?

Greatest common factor (GCF) of 61508 and 61520 is 4.

GCF(61508,61520) = 4

We will now calculate the prime factors of 61508 and 61520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61508 and 61520.

How to find the GCF of 61508 and 61520?

We will first find the prime factorization of 61508 and 61520. After we will calculate the factors of 61508 and 61520 and find the biggest common factor number .

Step-1: Prime Factorization of 61508

Prime factors of 61508 are 2, 15377. Prime factorization of 61508 in exponential form is:

61508 = 2² × 15377¹

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 61508

List of positive integer factors of 61508 that divides 61508 without a remainder.

1, 2, 4, 15377, 30754

Step-4: Factors of 61520

List of positive integer factors of 61520 that divides 61508 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 61508 and 61520. The biggest common factor number is the GCF number.
So the greatest common factor 61508 and 61520 is 4.

Also check out the Least Common Multiple of 61508 and 61520