What is the Greatest Common Factor of 63884 and 63900?

Greatest common factor (GCF) of 63884 and 63900 is 4.

GCF(63884,63900) = 4

We will now calculate the prime factors of 63884 and 63900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63884 and 63900.

How to find the GCF of 63884 and 63900?

We will first find the prime factorization of 63884 and 63900. After we will calculate the factors of 63884 and 63900 and find the biggest common factor number .

Step-1: Prime Factorization of 63884

Prime factors of 63884 are 2, 15971. Prime factorization of 63884 in exponential form is:

63884 = 2² × 15971¹

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 63884

List of positive integer factors of 63884 that divides 63884 without a remainder.

1, 2, 4, 15971, 31942

Step-4: Factors of 63900

List of positive integer factors of 63900 that divides 63884 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 63884 and 63900. The biggest common factor number is the GCF number.
So the greatest common factor 63884 and 63900 is 4.

Also check out the Least Common Multiple of 63884 and 63900