What is the Greatest Common Factor of 63613 and 63624?

Greatest common factor (GCF) of 63613 and 63624 is 11.

GCF(63613,63624) = 11

We will now calculate the prime factors of 63613 and 63624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63613 and 63624.

How to find the GCF of 63613 and 63624?

We will first find the prime factorization of 63613 and 63624. After we will calculate the factors of 63613 and 63624 and find the biggest common factor number .

Step-1: Prime Factorization of 63613

Prime factors of 63613 are 11, 5783. Prime factorization of 63613 in exponential form is:

63613 = 11¹ × 5783¹

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 63613

List of positive integer factors of 63613 that divides 63613 without a remainder.

1, 11, 5783

Step-4: Factors of 63624

List of positive integer factors of 63624 that divides 63613 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 63613 and 63624. The biggest common factor number is the GCF number.
So the greatest common factor 63613 and 63624 is 11.

Also check out the Least Common Multiple of 63613 and 63624