What is the Greatest Common Factor of 58638 and 58653?

Greatest common factor (GCF) of 58638 and 58653 is 3.

GCF(58638,58653) = 3

We will now calculate the prime factors of 58638 and 58653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58638 and 58653.

How to find the GCF of 58638 and 58653?

We will first find the prime factorization of 58638 and 58653. After we will calculate the factors of 58638 and 58653 and find the biggest common factor number .

Step-1: Prime Factorization of 58638

Prime factors of 58638 are 2, 3, 29, 337. Prime factorization of 58638 in exponential form is:

58638 = 2¹ × 3¹ × 29¹ × 337¹

Step-2: 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-3: Factors of 58638

List of positive integer factors of 58638 that divides 58638 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 337, 674, 1011, 2022, 9773, 19546, 29319

Step-4: Factors of 58653

List of positive integer factors of 58653 that divides 58638 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58638 and 58653. The biggest common factor number is the GCF number.
So the greatest common factor 58638 and 58653 is 3.

Also check out the Least Common Multiple of 58638 and 58653