What is the Greatest Common Factor of 58653 and 58664?

Greatest common factor (GCF) of 58653 and 58664 is 1.

GCF(58653,58664) = 1

We will now calculate the prime factors of 58653 and 58664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58653 and 58664.

How to find the GCF of 58653 and 58664?

We will first find the prime factorization of 58653 and 58664. After we will calculate the factors of 58653 and 58664 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 58664

Prime factors of 58664 are 2, 7333. Prime factorization of 58664 in exponential form is:

58664 = 2³ × 7333¹

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 58664

List of positive integer factors of 58664 that divides 58653 without a remainder.

1, 2, 4, 8, 7333, 14666, 29332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58653 and 58664. The biggest common factor number is the GCF number.
So the greatest common factor 58653 and 58664 is 1.

Also check out the Least Common Multiple of 58653 and 58664