What is the Greatest Common Factor of 63606 and 63624?

Greatest common factor (GCF) of 63606 and 63624 is 6.

GCF(63606,63624) = 6

We will now calculate the prime factors of 63606 and 63624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63606 and 63624.

How to find the GCF of 63606 and 63624?

We will first find the prime factorization of 63606 and 63624. After we will calculate the factors of 63606 and 63624 and find the biggest common factor number .

Step-1: Prime Factorization of 63606

Prime factors of 63606 are 2, 3, 10601. Prime factorization of 63606 in exponential form is:

63606 = 2¹ × 3¹ × 10601¹

Step-2: Prime Factorization of 63624

Prime factors of 63624 are 2, 3, 11, 241. Prime factorization of 63624 in exponential form is:

63624 = 2³ × 3¹ × 11¹ × 241¹

Step-3: Factors of 63606

List of positive integer factors of 63606 that divides 63606 without a remainder.

1, 2, 3, 6, 10601, 21202, 31803

Step-4: Factors of 63624

List of positive integer factors of 63624 that divides 63606 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 241, 264, 482, 723, 964, 1446, 1928, 2651, 2892, 5302, 5784, 7953, 10604, 15906, 21208, 31812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63606 and 63624. The biggest common factor number is the GCF number.
So the greatest common factor 63606 and 63624 is 6.

Also check out the Least Common Multiple of 63606 and 63624