What is the Greatest Common Factor of 56610 and 56628?

Greatest common factor (GCF) of 56610 and 56628 is 18.

GCF(56610,56628) = 18

We will now calculate the prime factors of 56610 and 56628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56610 and 56628.

How to find the GCF of 56610 and 56628?

We will first find the prime factorization of 56610 and 56628. After we will calculate the factors of 56610 and 56628 and find the biggest common factor number .

Step-1: Prime Factorization of 56610

Prime factors of 56610 are 2, 3, 5, 17, 37. Prime factorization of 56610 in exponential form is:

56610 = 2¹ × 3² × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 56628

Prime factors of 56628 are 2, 3, 11, 13. Prime factorization of 56628 in exponential form is:

56628 = 2² × 3² × 11² × 13¹

Step-3: Factors of 56610

List of positive integer factors of 56610 that divides 56610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 37, 45, 51, 74, 85, 90, 102, 111, 153, 170, 185, 222, 255, 306, 333, 370, 510, 555, 629, 666, 765, 1110, 1258, 1530, 1665, 1887, 3145, 3330, 3774, 5661, 6290, 9435, 11322, 18870, 28305

Step-4: Factors of 56628

List of positive integer factors of 56628 that divides 56610 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 121, 132, 143, 156, 198, 234, 242, 286, 363, 396, 429, 468, 484, 572, 726, 858, 1089, 1287, 1452, 1573, 1716, 2178, 2574, 3146, 4356, 4719, 5148, 6292, 9438, 14157, 18876, 28314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56610 and 56628. The biggest common factor number is the GCF number.
So the greatest common factor 56610 and 56628 is 18.

Also check out the Least Common Multiple of 56610 and 56628