What is the Greatest Common Factor of 63780 and 63800?

Greatest common factor (GCF) of 63780 and 63800 is 20.

GCF(63780,63800) = 20

We will now calculate the prime factors of 63780 and 63800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63780 and 63800.

How to find the GCF of 63780 and 63800?

We will first find the prime factorization of 63780 and 63800. After we will calculate the factors of 63780 and 63800 and find the biggest common factor number .

Step-1: Prime Factorization of 63780

Prime factors of 63780 are 2, 3, 5, 1063. Prime factorization of 63780 in exponential form is:

63780 = 2² × 3¹ × 5¹ × 1063¹

Step-2: Prime Factorization of 63800

Prime factors of 63800 are 2, 5, 11, 29. Prime factorization of 63800 in exponential form is:

63800 = 2³ × 5² × 11¹ × 29¹

Step-3: Factors of 63780

List of positive integer factors of 63780 that divides 63780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1063, 2126, 3189, 4252, 5315, 6378, 10630, 12756, 15945, 21260, 31890

Step-4: Factors of 63800

List of positive integer factors of 63800 that divides 63780 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 29, 40, 44, 50, 55, 58, 88, 100, 110, 116, 145, 200, 220, 232, 275, 290, 319, 440, 550, 580, 638, 725, 1100, 1160, 1276, 1450, 1595, 2200, 2552, 2900, 3190, 5800, 6380, 7975, 12760, 15950, 31900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63780 and 63800. The biggest common factor number is the GCF number.
So the greatest common factor 63780 and 63800 is 20.

Also check out the Least Common Multiple of 63780 and 63800