What is the Greatest Common Factor of 55627 and 55638?

Greatest common factor (GCF) of 55627 and 55638 is 11.

GCF(55627,55638) = 11

We will now calculate the prime factors of 55627 and 55638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55627 and 55638.

How to find the GCF of 55627 and 55638?

We will first find the prime factorization of 55627 and 55638. After we will calculate the factors of 55627 and 55638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55638

Prime factors of 55638 are 2, 3, 11, 281. Prime factorization of 55638 in exponential form is:

55638 = 2¹ × 3² × 11¹ × 281¹

Step-3: Factors of 55627

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

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

Step-4: Factors of 55638

List of positive integer factors of 55638 that divides 55627 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 281, 562, 843, 1686, 2529, 3091, 5058, 6182, 9273, 18546, 27819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55627 and 55638. The biggest common factor number is the GCF number.
So the greatest common factor 55627 and 55638 is 11.

Also check out the Least Common Multiple of 55627 and 55638