What is the Greatest Common Factor of 58749 and 58759?

Greatest common factor (GCF) of 58749 and 58759 is 1.

GCF(58749,58759) = 1

We will now calculate the prime factors of 58749 and 58759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58749 and 58759.

How to find the GCF of 58749 and 58759?

We will first find the prime factorization of 58749 and 58759. After we will calculate the factors of 58749 and 58759 and find the biggest common factor number .

Step-1: Prime Factorization of 58749

Prime factors of 58749 are 3, 19583. Prime factorization of 58749 in exponential form is:

58749 = 3¹ × 19583¹

Step-2: Prime Factorization of 58759

Prime factors of 58759 are 67, 877. Prime factorization of 58759 in exponential form is:

58759 = 67¹ × 877¹

Step-3: Factors of 58749

List of positive integer factors of 58749 that divides 58749 without a remainder.

1, 3, 19583

Step-4: Factors of 58759

List of positive integer factors of 58759 that divides 58749 without a remainder.

1, 67, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58749 and 58759. The biggest common factor number is the GCF number.
So the greatest common factor 58749 and 58759 is 1.

Also check out the Least Common Multiple of 58749 and 58759