What is the Greatest Common Factor of 63780 and 63795?

Greatest common factor (GCF) of 63780 and 63795 is 15.

GCF(63780,63795) = 15

We will now calculate the prime factors of 63780 and 63795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63780 and 63795.

How to find the GCF of 63780 and 63795?

We will first find the prime factorization of 63780 and 63795. After we will calculate the factors of 63780 and 63795 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 63795

Prime factors of 63795 are 3, 5, 4253. Prime factorization of 63795 in exponential form is:

63795 = 3¹ × 5¹ × 4253¹

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 63795

List of positive integer factors of 63795 that divides 63780 without a remainder.

1, 3, 5, 15, 4253, 12759, 21265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63780 and 63795. The biggest common factor number is the GCF number.
So the greatest common factor 63780 and 63795 is 15.

Also check out the Least Common Multiple of 63780 and 63795