What is the Greatest Common Factor of 55566 and 55580?

Greatest common factor (GCF) of 55566 and 55580 is 14.

GCF(55566,55580) = 14

We will now calculate the prime factors of 55566 and 55580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55566 and 55580.

How to find the GCF of 55566 and 55580?

We will first find the prime factorization of 55566 and 55580. After we will calculate the factors of 55566 and 55580 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55580

Prime factors of 55580 are 2, 5, 7, 397. Prime factorization of 55580 in exponential form is:

55580 = 2² × 5¹ × 7¹ × 397¹

Step-3: Factors of 55566

List of positive integer factors of 55566 that divides 55566 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

Step-4: Factors of 55580

List of positive integer factors of 55580 that divides 55566 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 397, 794, 1588, 1985, 2779, 3970, 5558, 7940, 11116, 13895, 27790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55566 and 55580. The biggest common factor number is the GCF number.
So the greatest common factor 55566 and 55580 is 14.

Also check out the Least Common Multiple of 55566 and 55580