What is the Greatest Common Factor of 63114 and 63132?

Greatest common factor (GCF) of 63114 and 63132 is 6.

GCF(63114,63132) = 6

We will now calculate the prime factors of 63114 and 63132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63114 and 63132.

How to find the GCF of 63114 and 63132?

We will first find the prime factorization of 63114 and 63132. After we will calculate the factors of 63114 and 63132 and find the biggest common factor number .

Step-1: Prime Factorization of 63114

Prime factors of 63114 are 2, 3, 67, 157. Prime factorization of 63114 in exponential form is:

63114 = 2¹ × 3¹ × 67¹ × 157¹

Step-2: 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-3: Factors of 63114

List of positive integer factors of 63114 that divides 63114 without a remainder.

1, 2, 3, 6, 67, 134, 157, 201, 314, 402, 471, 942, 10519, 21038, 31557

Step-4: Factors of 63132

List of positive integer factors of 63132 that divides 63114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63114 and 63132. The biggest common factor number is the GCF number.
So the greatest common factor 63114 and 63132 is 6.

Also check out the Least Common Multiple of 63114 and 63132