What is the Greatest Common Factor of 63540 and 63560?

Greatest common factor (GCF) of 63540 and 63560 is 20.

GCF(63540,63560) = 20

We will now calculate the prime factors of 63540 and 63560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63540 and 63560.

How to find the GCF of 63540 and 63560?

We will first find the prime factorization of 63540 and 63560. After we will calculate the factors of 63540 and 63560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63560

Prime factors of 63560 are 2, 5, 7, 227. Prime factorization of 63560 in exponential form is:

63560 = 2³ × 5¹ × 7¹ × 227¹

Step-3: Factors of 63540

List of positive integer factors of 63540 that divides 63540 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

Step-4: Factors of 63560

List of positive integer factors of 63560 that divides 63540 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 227, 280, 454, 908, 1135, 1589, 1816, 2270, 3178, 4540, 6356, 7945, 9080, 12712, 15890, 31780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63540 and 63560. The biggest common factor number is the GCF number.
So the greatest common factor 63540 and 63560 is 20.

Also check out the Least Common Multiple of 63540 and 63560