What is the Greatest Common Factor of 55650 and 55660?

Greatest common factor (GCF) of 55650 and 55660 is 10.

GCF(55650,55660) = 10

We will now calculate the prime factors of 55650 and 55660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55650 and 55660.

How to find the GCF of 55650 and 55660?

We will first find the prime factorization of 55650 and 55660. After we will calculate the factors of 55650 and 55660 and find the biggest common factor number .

Step-1: Prime Factorization of 55650

Prime factors of 55650 are 2, 3, 5, 7, 53. Prime factorization of 55650 in exponential form is:

55650 = 2¹ × 3¹ × 5² × 7¹ × 53¹

Step-2: Prime Factorization of 55660

Prime factors of 55660 are 2, 5, 11, 23. Prime factorization of 55660 in exponential form is:

55660 = 2² × 5¹ × 11² × 23¹

Step-3: Factors of 55650

List of positive integer factors of 55650 that divides 55650 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 53, 70, 75, 105, 106, 150, 159, 175, 210, 265, 318, 350, 371, 525, 530, 742, 795, 1050, 1113, 1325, 1590, 1855, 2226, 2650, 3710, 3975, 5565, 7950, 9275, 11130, 18550, 27825

Step-4: Factors of 55660

List of positive integer factors of 55660 that divides 55650 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 121, 220, 230, 242, 253, 460, 484, 506, 605, 1012, 1210, 1265, 2420, 2530, 2783, 5060, 5566, 11132, 13915, 27830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55650 and 55660. The biggest common factor number is the GCF number.
So the greatest common factor 55650 and 55660 is 10.

Also check out the Least Common Multiple of 55650 and 55660