What is the Greatest Common Factor of 55530 and 55548?

Greatest common factor (GCF) of 55530 and 55548 is 18.

GCF(55530,55548) = 18

We will now calculate the prime factors of 55530 and 55548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55530 and 55548.

How to find the GCF of 55530 and 55548?

We will first find the prime factorization of 55530 and 55548. After we will calculate the factors of 55530 and 55548 and find the biggest common factor number .

Step-1: Prime Factorization of 55530

Prime factors of 55530 are 2, 3, 5, 617. Prime factorization of 55530 in exponential form is:

55530 = 2¹ × 3² × 5¹ × 617¹

Step-2: Prime Factorization of 55548

Prime factors of 55548 are 2, 3, 1543. Prime factorization of 55548 in exponential form is:

55548 = 2² × 3² × 1543¹

Step-3: Factors of 55530

List of positive integer factors of 55530 that divides 55530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 617, 1234, 1851, 3085, 3702, 5553, 6170, 9255, 11106, 18510, 27765

Step-4: Factors of 55548

List of positive integer factors of 55548 that divides 55530 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1543, 3086, 4629, 6172, 9258, 13887, 18516, 27774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55530 and 55548. The biggest common factor number is the GCF number.
So the greatest common factor 55530 and 55548 is 18.

Also check out the Least Common Multiple of 55530 and 55548