What is the Greatest Common Factor of 55542 and 55560?

Greatest common factor (GCF) of 55542 and 55560 is 6.

GCF(55542,55560) = 6

We will now calculate the prime factors of 55542 and 55560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55542 and 55560.

How to find the GCF of 55542 and 55560?

We will first find the prime factorization of 55542 and 55560. After we will calculate the factors of 55542 and 55560 and find the biggest common factor number .

Step-1: Prime Factorization of 55542

Prime factors of 55542 are 2, 3, 9257. Prime factorization of 55542 in exponential form is:

55542 = 2¹ × 3¹ × 9257¹

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 55542

List of positive integer factors of 55542 that divides 55542 without a remainder.

1, 2, 3, 6, 9257, 18514, 27771

Step-4: Factors of 55560

List of positive integer factors of 55560 that divides 55542 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 55542 and 55560. The biggest common factor number is the GCF number.
So the greatest common factor 55542 and 55560 is 6.

Also check out the Least Common Multiple of 55542 and 55560