What is the Greatest Common Factor of 63627 and 63633?

Greatest common factor (GCF) of 63627 and 63633 is 3.

GCF(63627,63633) = 3

We will now calculate the prime factors of 63627 and 63633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63627 and 63633.

How to find the GCF of 63627 and 63633?

We will first find the prime factorization of 63627 and 63633. After we will calculate the factors of 63627 and 63633 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 63633

Prime factors of 63633 are 3, 21211. Prime factorization of 63633 in exponential form is:

63633 = 3¹ × 21211¹

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 63633

List of positive integer factors of 63633 that divides 63627 without a remainder.

1, 3, 21211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63627 and 63633. The biggest common factor number is the GCF number.
So the greatest common factor 63627 and 63633 is 3.

Also check out the Least Common Multiple of 63627 and 63633