What is the Greatest Common Factor of 55650 and 55662?

Greatest common factor (GCF) of 55650 and 55662 is 6.

GCF(55650,55662) = 6

We will now calculate the prime factors of 55650 and 55662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55650 and 55662.

How to find the GCF of 55650 and 55662?

We will first find the prime factorization of 55650 and 55662. After we will calculate the factors of 55650 and 55662 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 55662

Prime factors of 55662 are 2, 3, 9277. Prime factorization of 55662 in exponential form is:

55662 = 2¹ × 3¹ × 9277¹

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 55662

List of positive integer factors of 55662 that divides 55650 without a remainder.

1, 2, 3, 6, 9277, 18554, 27831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55650 and 55662. The biggest common factor number is the GCF number.
So the greatest common factor 55650 and 55662 is 6.

Also check out the Least Common Multiple of 55650 and 55662