What is the Greatest Common Factor of 61635 and 61650?

Greatest common factor (GCF) of 61635 and 61650 is 15.

GCF(61635,61650) = 15

We will now calculate the prime factors of 61635 and 61650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61635 and 61650.

How to find the GCF of 61635 and 61650?

We will first find the prime factorization of 61635 and 61650. After we will calculate the factors of 61635 and 61650 and find the biggest common factor number .

Step-1: Prime Factorization of 61635

Prime factors of 61635 are 3, 5, 7, 587. Prime factorization of 61635 in exponential form is:

61635 = 3¹ × 5¹ × 7¹ × 587¹

Step-2: Prime Factorization of 61650

Prime factors of 61650 are 2, 3, 5, 137. Prime factorization of 61650 in exponential form is:

61650 = 2¹ × 3² × 5² × 137¹

Step-3: Factors of 61635

List of positive integer factors of 61635 that divides 61635 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 587, 1761, 2935, 4109, 8805, 12327, 20545

Step-4: Factors of 61650

List of positive integer factors of 61650 that divides 61635 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 137, 150, 225, 274, 411, 450, 685, 822, 1233, 1370, 2055, 2466, 3425, 4110, 6165, 6850, 10275, 12330, 20550, 30825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61635 and 61650. The biggest common factor number is the GCF number.
So the greatest common factor 61635 and 61650 is 15.

Also check out the Least Common Multiple of 61635 and 61650