What is the Greatest Common Factor of 63114 and 63129?

Greatest common factor (GCF) of 63114 and 63129 is 3.

GCF(63114,63129) = 3

We will now calculate the prime factors of 63114 and 63129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63114 and 63129.

How to find the GCF of 63114 and 63129?

We will first find the prime factorization of 63114 and 63129. After we will calculate the factors of 63114 and 63129 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 63129

Prime factors of 63129 are 3, 11, 1913. Prime factorization of 63129 in exponential form is:

63129 = 3¹ × 11¹ × 1913¹

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 63129

List of positive integer factors of 63129 that divides 63114 without a remainder.

1, 3, 11, 33, 1913, 5739, 21043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63114 and 63129. The biggest common factor number is the GCF number.
So the greatest common factor 63114 and 63129 is 3.

Also check out the Least Common Multiple of 63114 and 63129