What is the Greatest Common Factor of 58635 and 58650?

Greatest common factor (GCF) of 58635 and 58650 is 15.

GCF(58635,58650) = 15

We will now calculate the prime factors of 58635 and 58650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58635 and 58650.

How to find the GCF of 58635 and 58650?

We will first find the prime factorization of 58635 and 58650. After we will calculate the factors of 58635 and 58650 and find the biggest common factor number .

Step-1: Prime Factorization of 58635

Prime factors of 58635 are 3, 5, 1303. Prime factorization of 58635 in exponential form is:

58635 = 3² × 5¹ × 1303¹

Step-2: Prime Factorization of 58650

Prime factors of 58650 are 2, 3, 5, 17, 23. Prime factorization of 58650 in exponential form is:

58650 = 2¹ × 3¹ × 5² × 17¹ × 23¹

Step-3: Factors of 58635

List of positive integer factors of 58635 that divides 58635 without a remainder.

1, 3, 5, 9, 15, 45, 1303, 3909, 6515, 11727, 19545

Step-4: Factors of 58650

List of positive integer factors of 58650 that divides 58635 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 23, 25, 30, 34, 46, 50, 51, 69, 75, 85, 102, 115, 138, 150, 170, 230, 255, 345, 391, 425, 510, 575, 690, 782, 850, 1150, 1173, 1275, 1725, 1955, 2346, 2550, 3450, 3910, 5865, 9775, 11730, 19550, 29325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58635 and 58650. The biggest common factor number is the GCF number.
So the greatest common factor 58635 and 58650 is 15.

Also check out the Least Common Multiple of 58635 and 58650