What is the Greatest Common Factor of 55616 and 55627?

Greatest common factor (GCF) of 55616 and 55627 is 11.

GCF(55616,55627) = 11

We will now calculate the prime factors of 55616 and 55627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55616 and 55627.

How to find the GCF of 55616 and 55627?

We will first find the prime factorization of 55616 and 55627. After we will calculate the factors of 55616 and 55627 and find the biggest common factor number .

Step-1: Prime Factorization of 55616

Prime factors of 55616 are 2, 11, 79. Prime factorization of 55616 in exponential form is:

55616 = 2⁶ × 11¹ × 79¹

Step-2: Prime Factorization of 55627

Prime factors of 55627 are 11, 13, 389. Prime factorization of 55627 in exponential form is:

55627 = 11¹ × 13¹ × 389¹

Step-3: Factors of 55616

List of positive integer factors of 55616 that divides 55616 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352, 632, 704, 869, 1264, 1738, 2528, 3476, 5056, 6952, 13904, 27808

Step-4: Factors of 55627

List of positive integer factors of 55627 that divides 55616 without a remainder.

1, 11, 13, 143, 389, 4279, 5057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55616 and 55627. The biggest common factor number is the GCF number.
So the greatest common factor 55616 and 55627 is 11.

Also check out the Least Common Multiple of 55616 and 55627