What is the Greatest Common Factor of 55560 and 55566?

Greatest common factor (GCF) of 55560 and 55566 is 6.

GCF(55560,55566) = 6

We will now calculate the prime factors of 55560 and 55566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55560 and 55566.

How to find the GCF of 55560 and 55566?

We will first find the prime factorization of 55560 and 55566. After we will calculate the factors of 55560 and 55566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55566

Prime factors of 55566 are 2, 3, 7. Prime factorization of 55566 in exponential form is:

55566 = 2¹ × 3⁴ × 7³

Step-3: Factors of 55560

List of positive integer factors of 55560 that divides 55560 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

Step-4: Factors of 55566

List of positive integer factors of 55566 that divides 55560 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 343, 378, 441, 567, 686, 882, 1029, 1134, 1323, 2058, 2646, 3087, 3969, 6174, 7938, 9261, 18522, 27783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55560 and 55566. The biggest common factor number is the GCF number.
So the greatest common factor 55560 and 55566 is 6.

Also check out the Least Common Multiple of 55560 and 55566