What is the Greatest Common Factor of 58650 and 58667?

Greatest common factor (GCF) of 58650 and 58667 is 17.

GCF(58650,58667) = 17

We will now calculate the prime factors of 58650 and 58667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58650 and 58667.

How to find the GCF of 58650 and 58667?

We will first find the prime factorization of 58650 and 58667. After we will calculate the factors of 58650 and 58667 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58667

Prime factors of 58667 are 7, 17, 29. Prime factorization of 58667 in exponential form is:

58667 = 7¹ × 17² × 29¹

Step-3: Factors of 58650

List of positive integer factors of 58650 that divides 58650 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

Step-4: Factors of 58667

List of positive integer factors of 58667 that divides 58650 without a remainder.

1, 7, 17, 29, 119, 203, 289, 493, 2023, 3451, 8381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58650 and 58667. The biggest common factor number is the GCF number.
So the greatest common factor 58650 and 58667 is 17.

Also check out the Least Common Multiple of 58650 and 58667