What is the Greatest Common Factor of 63900 and 63904?

Greatest common factor (GCF) of 63900 and 63904 is 4.

GCF(63900,63904) = 4

We will now calculate the prime factors of 63900 and 63904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63900 and 63904.

How to find the GCF of 63900 and 63904?

We will first find the prime factorization of 63900 and 63904. After we will calculate the factors of 63900 and 63904 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63904

Prime factors of 63904 are 2, 1997. Prime factorization of 63904 in exponential form is:

63904 = 2⁵ × 1997¹

Step-3: Factors of 63900

List of positive integer factors of 63900 that divides 63900 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

Step-4: Factors of 63904

List of positive integer factors of 63904 that divides 63900 without a remainder.

1, 2, 4, 8, 16, 32, 1997, 3994, 7988, 15976, 31952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63900 and 63904. The biggest common factor number is the GCF number.
So the greatest common factor 63900 and 63904 is 4.

Also check out the Least Common Multiple of 63900 and 63904