What is the Greatest Common Factor of 58653 and 58671?

Greatest common factor (GCF) of 58653 and 58671 is 9.

GCF(58653,58671) = 9

We will now calculate the prime factors of 58653 and 58671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58653 and 58671.

How to find the GCF of 58653 and 58671?

We will first find the prime factorization of 58653 and 58671. After we will calculate the factors of 58653 and 58671 and find the biggest common factor number .

Step-1: Prime Factorization of 58653

Prime factors of 58653 are 3, 7, 19. Prime factorization of 58653 in exponential form is:

58653 = 3² × 7³ × 19¹

Step-2: Prime Factorization of 58671

Prime factors of 58671 are 3, 41, 53. Prime factorization of 58671 in exponential form is:

58671 = 3³ × 41¹ × 53¹

Step-3: Factors of 58653

List of positive integer factors of 58653 that divides 58653 without a remainder.

1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 343, 399, 441, 931, 1029, 1197, 2793, 3087, 6517, 8379, 19551

Step-4: Factors of 58671

List of positive integer factors of 58671 that divides 58653 without a remainder.

1, 3, 9, 27, 41, 53, 123, 159, 369, 477, 1107, 1431, 2173, 6519, 19557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58653 and 58671. The biggest common factor number is the GCF number.
So the greatest common factor 58653 and 58671 is 9.

Also check out the Least Common Multiple of 58653 and 58671