What is the Greatest Common Factor of 63524 and 63540?

Greatest common factor (GCF) of 63524 and 63540 is 4.

GCF(63524,63540) = 4

We will now calculate the prime factors of 63524 and 63540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63524 and 63540.

How to find the GCF of 63524 and 63540?

We will first find the prime factorization of 63524 and 63540. After we will calculate the factors of 63524 and 63540 and find the biggest common factor number .

Step-1: Prime Factorization of 63524

Prime factors of 63524 are 2, 15881. Prime factorization of 63524 in exponential form is:

63524 = 2² × 15881¹

Step-2: Prime Factorization of 63540

Prime factors of 63540 are 2, 3, 5, 353. Prime factorization of 63540 in exponential form is:

63540 = 2² × 3² × 5¹ × 353¹

Step-3: Factors of 63524

List of positive integer factors of 63524 that divides 63524 without a remainder.

1, 2, 4, 15881, 31762

Step-4: Factors of 63540

List of positive integer factors of 63540 that divides 63524 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 353, 706, 1059, 1412, 1765, 2118, 3177, 3530, 4236, 5295, 6354, 7060, 10590, 12708, 15885, 21180, 31770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63524 and 63540. The biggest common factor number is the GCF number.
So the greatest common factor 63524 and 63540 is 4.

Also check out the Least Common Multiple of 63524 and 63540