What is the Greatest Common Factor of 55635 and 55650?

Greatest common factor (GCF) of 55635 and 55650 is 15.

GCF(55635,55650) = 15

We will now calculate the prime factors of 55635 and 55650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55635 and 55650.

How to find the GCF of 55635 and 55650?

We will first find the prime factorization of 55635 and 55650. After we will calculate the factors of 55635 and 55650 and find the biggest common factor number .

Step-1: Prime Factorization of 55635

Prime factors of 55635 are 3, 5, 3709. Prime factorization of 55635 in exponential form is:

55635 = 3¹ × 5¹ × 3709¹

Step-2: 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-3: Factors of 55635

List of positive integer factors of 55635 that divides 55635 without a remainder.

1, 3, 5, 15, 3709, 11127, 18545

Step-4: Factors of 55650

List of positive integer factors of 55650 that divides 55635 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55635 and 55650. The biggest common factor number is the GCF number.
So the greatest common factor 55635 and 55650 is 15.

Also check out the Least Common Multiple of 55635 and 55650