What is the Greatest Common Factor of 55548 and 55560?

Greatest common factor (GCF) of 55548 and 55560 is 12.

GCF(55548,55560) = 12

We will now calculate the prime factors of 55548 and 55560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55548 and 55560.

How to find the GCF of 55548 and 55560?

We will first find the prime factorization of 55548 and 55560. After we will calculate the factors of 55548 and 55560 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 55560

Prime factors of 55560 are 2, 3, 5, 463. Prime factorization of 55560 in exponential form is:

55560 = 2³ × 3¹ × 5¹ × 463¹

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 55560

List of positive integer factors of 55560 that divides 55548 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 463, 926, 1389, 1852, 2315, 2778, 3704, 4630, 5556, 6945, 9260, 11112, 13890, 18520, 27780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55548 and 55560. The biggest common factor number is the GCF number.
So the greatest common factor 55548 and 55560 is 12.

Also check out the Least Common Multiple of 55548 and 55560