What is the Greatest Common Factor of 63765 and 63780?

Greatest common factor (GCF) of 63765 and 63780 is 15.

GCF(63765,63780) = 15

We will now calculate the prime factors of 63765 and 63780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63765 and 63780.

How to find the GCF of 63765 and 63780?

We will first find the prime factorization of 63765 and 63780. After we will calculate the factors of 63765 and 63780 and find the biggest common factor number .

Step-1: Prime Factorization of 63765

Prime factors of 63765 are 3, 5, 13, 109. Prime factorization of 63765 in exponential form is:

63765 = 3² × 5¹ × 13¹ × 109¹

Step-2: 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-3: Factors of 63765

List of positive integer factors of 63765 that divides 63765 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 109, 117, 195, 327, 545, 585, 981, 1417, 1635, 4251, 4905, 7085, 12753, 21255

Step-4: Factors of 63780

List of positive integer factors of 63780 that divides 63765 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63765 and 63780. The biggest common factor number is the GCF number.
So the greatest common factor 63765 and 63780 is 15.

Also check out the Least Common Multiple of 63765 and 63780