What is the Greatest Common Factor of 55614 and 55627?

Greatest common factor (GCF) of 55614 and 55627 is 13.

GCF(55614,55627) = 13

We will now calculate the prime factors of 55614 and 55627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55614 and 55627.

How to find the GCF of 55614 and 55627?

We will first find the prime factorization of 55614 and 55627. After we will calculate the factors of 55614 and 55627 and find the biggest common factor number .

Step-1: Prime Factorization of 55614

Prime factors of 55614 are 2, 3, 13, 23, 31. Prime factorization of 55614 in exponential form is:

55614 = 2¹ × 3¹ × 13¹ × 23¹ × 31¹

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 55614

List of positive integer factors of 55614 that divides 55614 without a remainder.

1, 2, 3, 6, 13, 23, 26, 31, 39, 46, 62, 69, 78, 93, 138, 186, 299, 403, 598, 713, 806, 897, 1209, 1426, 1794, 2139, 2418, 4278, 9269, 18538, 27807

Step-4: Factors of 55627

List of positive integer factors of 55627 that divides 55614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55614 and 55627. The biggest common factor number is the GCF number.
So the greatest common factor 55614 and 55627 is 13.

Also check out the Least Common Multiple of 55614 and 55627