What is the Greatest Common Factor of 63132 and 63147?

Greatest common factor (GCF) of 63132 and 63147 is 3.

GCF(63132,63147) = 3

We will now calculate the prime factors of 63132 and 63147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63132 and 63147.

How to find the GCF of 63132 and 63147?

We will first find the prime factorization of 63132 and 63147. After we will calculate the factors of 63132 and 63147 and find the biggest common factor number .

Step-1: Prime Factorization of 63132

Prime factors of 63132 are 2, 3, 5261. Prime factorization of 63132 in exponential form is:

63132 = 2² × 3¹ × 5261¹

Step-2: Prime Factorization of 63147

Prime factors of 63147 are 3, 7, 31, 97. Prime factorization of 63147 in exponential form is:

63147 = 3¹ × 7¹ × 31¹ × 97¹

Step-3: Factors of 63132

List of positive integer factors of 63132 that divides 63132 without a remainder.

1, 2, 3, 4, 6, 12, 5261, 10522, 15783, 21044, 31566

Step-4: Factors of 63147

List of positive integer factors of 63147 that divides 63132 without a remainder.

1, 3, 7, 21, 31, 93, 97, 217, 291, 651, 679, 2037, 3007, 9021, 21049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63132 and 63147. The biggest common factor number is the GCF number.
So the greatest common factor 63132 and 63147 is 3.

Also check out the Least Common Multiple of 63132 and 63147