What is the Greatest Common Factor of 61524 and 61540?

Greatest common factor (GCF) of 61524 and 61540 is 4.

GCF(61524,61540) = 4

We will now calculate the prime factors of 61524 and 61540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61524 and 61540.

How to find the GCF of 61524 and 61540?

We will first find the prime factorization of 61524 and 61540. After we will calculate the factors of 61524 and 61540 and find the biggest common factor number .

Step-1: Prime Factorization of 61524

Prime factors of 61524 are 2, 3, 1709. Prime factorization of 61524 in exponential form is:

61524 = 2² × 3² × 1709¹

Step-2: Prime Factorization of 61540

Prime factors of 61540 are 2, 5, 17, 181. Prime factorization of 61540 in exponential form is:

61540 = 2² × 5¹ × 17¹ × 181¹

Step-3: Factors of 61524

List of positive integer factors of 61524 that divides 61524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1709, 3418, 5127, 6836, 10254, 15381, 20508, 30762

Step-4: Factors of 61540

List of positive integer factors of 61540 that divides 61524 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 181, 340, 362, 724, 905, 1810, 3077, 3620, 6154, 12308, 15385, 30770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61524 and 61540. The biggest common factor number is the GCF number.
So the greatest common factor 61524 and 61540 is 4.

Also check out the Least Common Multiple of 61524 and 61540