What is the Greatest Common Factor of 63880 and 63900?

Greatest common factor (GCF) of 63880 and 63900 is 20.

GCF(63880,63900) = 20

We will now calculate the prime factors of 63880 and 63900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63880 and 63900.

How to find the GCF of 63880 and 63900?

We will first find the prime factorization of 63880 and 63900. After we will calculate the factors of 63880 and 63900 and find the biggest common factor number .

Step-1: Prime Factorization of 63880

Prime factors of 63880 are 2, 5, 1597. Prime factorization of 63880 in exponential form is:

63880 = 2³ × 5¹ × 1597¹

Step-2: Prime Factorization of 63900

Prime factors of 63900 are 2, 3, 5, 71. Prime factorization of 63900 in exponential form is:

63900 = 2² × 3² × 5² × 71¹

Step-3: Factors of 63880

List of positive integer factors of 63880 that divides 63880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1597, 3194, 6388, 7985, 12776, 15970, 31940

Step-4: Factors of 63900

List of positive integer factors of 63900 that divides 63880 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 71, 75, 90, 100, 142, 150, 180, 213, 225, 284, 300, 355, 426, 450, 639, 710, 852, 900, 1065, 1278, 1420, 1775, 2130, 2556, 3195, 3550, 4260, 5325, 6390, 7100, 10650, 12780, 15975, 21300, 31950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63880 and 63900. The biggest common factor number is the GCF number.
So the greatest common factor 63880 and 63900 is 20.

Also check out the Least Common Multiple of 63880 and 63900