What is the Greatest Common Factor of 55548 and 55563?

Greatest common factor (GCF) of 55548 and 55563 is 3.

GCF(55548,55563) = 3

We will now calculate the prime factors of 55548 and 55563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55548 and 55563.

How to find the GCF of 55548 and 55563?

We will first find the prime factorization of 55548 and 55563. After we will calculate the factors of 55548 and 55563 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55563

Prime factors of 55563 are 3, 18521. Prime factorization of 55563 in exponential form is:

55563 = 3¹ × 18521¹

Step-3: Factors of 55548

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

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

Step-4: Factors of 55563

List of positive integer factors of 55563 that divides 55548 without a remainder.

1, 3, 18521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55548 and 55563. The biggest common factor number is the GCF number.
So the greatest common factor 55548 and 55563 is 3.

Also check out the Least Common Multiple of 55548 and 55563