What is the Greatest Common Factor of 63658 and 63672?

Greatest common factor (GCF) of 63658 and 63672 is 14.

GCF(63658,63672) = 14

We will now calculate the prime factors of 63658 and 63672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63658 and 63672.

How to find the GCF of 63658 and 63672?

We will first find the prime factorization of 63658 and 63672. After we will calculate the factors of 63658 and 63672 and find the biggest common factor number .

Step-1: Prime Factorization of 63658

Prime factors of 63658 are 2, 7, 4547. Prime factorization of 63658 in exponential form is:

63658 = 2¹ × 7¹ × 4547¹

Step-2: Prime Factorization of 63672

Prime factors of 63672 are 2, 3, 7, 379. Prime factorization of 63672 in exponential form is:

63672 = 2³ × 3¹ × 7¹ × 379¹

Step-3: Factors of 63658

List of positive integer factors of 63658 that divides 63658 without a remainder.

1, 2, 7, 14, 4547, 9094, 31829

Step-4: Factors of 63672

List of positive integer factors of 63672 that divides 63658 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 379, 758, 1137, 1516, 2274, 2653, 3032, 4548, 5306, 7959, 9096, 10612, 15918, 21224, 31836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63658 and 63672. The biggest common factor number is the GCF number.
So the greatest common factor 63658 and 63672 is 14.

Also check out the Least Common Multiple of 63658 and 63672