What is the Greatest Common Factor of 63654 and 63672?

Greatest common factor (GCF) of 63654 and 63672 is 6.

GCF(63654,63672) = 6

We will now calculate the prime factors of 63654 and 63672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63654 and 63672.

How to find the GCF of 63654 and 63672?

We will first find the prime factorization of 63654 and 63672. After we will calculate the factors of 63654 and 63672 and find the biggest common factor number .

Step-1: Prime Factorization of 63654

Prime factors of 63654 are 2, 3, 103. Prime factorization of 63654 in exponential form is:

63654 = 2¹ × 3¹ × 103²

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 63654

List of positive integer factors of 63654 that divides 63654 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618, 10609, 21218, 31827

Step-4: Factors of 63672

List of positive integer factors of 63672 that divides 63654 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 63654 and 63672. The biggest common factor number is the GCF number.
So the greatest common factor 63654 and 63672 is 6.

Also check out the Least Common Multiple of 63654 and 63672