What is the Greatest Common Factor of 63624 and 63636?

Greatest common factor (GCF) of 63624 and 63636 is 12.

GCF(63624,63636) = 12

We will now calculate the prime factors of 63624 and 63636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63624 and 63636.

How to find the GCF of 63624 and 63636?

We will first find the prime factorization of 63624 and 63636. After we will calculate the factors of 63624 and 63636 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63636

Prime factors of 63636 are 2, 3, 5303. Prime factorization of 63636 in exponential form is:

63636 = 2² × 3¹ × 5303¹

Step-3: Factors of 63624

List of positive integer factors of 63624 that divides 63624 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

Step-4: Factors of 63636

List of positive integer factors of 63636 that divides 63624 without a remainder.

1, 2, 3, 4, 6, 12, 5303, 10606, 15909, 21212, 31818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63624 and 63636. The biggest common factor number is the GCF number.
So the greatest common factor 63624 and 63636 is 12.

Also check out the Least Common Multiple of 63624 and 63636