What is the Greatest Common Factor of 63627 and 63645?

Greatest common factor (GCF) of 63627 and 63645 is 3.

GCF(63627,63645) = 3

We will now calculate the prime factors of 63627 and 63645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63627 and 63645.

How to find the GCF of 63627 and 63645?

We will first find the prime factorization of 63627 and 63645. After we will calculate the factors of 63627 and 63645 and find the biggest common factor number .

Step-1: Prime Factorization of 63627

Prime factors of 63627 are 3, 127, 167. Prime factorization of 63627 in exponential form is:

63627 = 3¹ × 127¹ × 167¹

Step-2: Prime Factorization of 63645

Prime factors of 63645 are 3, 5, 4243. Prime factorization of 63645 in exponential form is:

63645 = 3¹ × 5¹ × 4243¹

Step-3: Factors of 63627

List of positive integer factors of 63627 that divides 63627 without a remainder.

1, 3, 127, 167, 381, 501, 21209

Step-4: Factors of 63645

List of positive integer factors of 63645 that divides 63627 without a remainder.

1, 3, 5, 15, 4243, 12729, 21215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63627 and 63645. The biggest common factor number is the GCF number.
So the greatest common factor 63627 and 63645 is 3.

Also check out the Least Common Multiple of 63627 and 63645