What is the Greatest Common Factor of 63555 and 63564?

Greatest common factor (GCF) of 63555 and 63564 is 3.

GCF(63555,63564) = 3

We will now calculate the prime factors of 63555 and 63564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63555 and 63564.

How to find the GCF of 63555 and 63564?

We will first find the prime factorization of 63555 and 63564. After we will calculate the factors of 63555 and 63564 and find the biggest common factor number .

Step-1: Prime Factorization of 63555

Prime factors of 63555 are 3, 5, 19, 223. Prime factorization of 63555 in exponential form is:

63555 = 3¹ × 5¹ × 19¹ × 223¹

Step-2: Prime Factorization of 63564

Prime factors of 63564 are 2, 3, 5297. Prime factorization of 63564 in exponential form is:

63564 = 2² × 3¹ × 5297¹

Step-3: Factors of 63555

List of positive integer factors of 63555 that divides 63555 without a remainder.

1, 3, 5, 15, 19, 57, 95, 223, 285, 669, 1115, 3345, 4237, 12711, 21185

Step-4: Factors of 63564

List of positive integer factors of 63564 that divides 63555 without a remainder.

1, 2, 3, 4, 6, 12, 5297, 10594, 15891, 21188, 31782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63555 and 63564. The biggest common factor number is the GCF number.
So the greatest common factor 63555 and 63564 is 3.

Also check out the Least Common Multiple of 63555 and 63564