What is the Greatest Common Factor of 58724 and 58733?

Greatest common factor (GCF) of 58724 and 58733 is 1.

GCF(58724,58733) = 1

We will now calculate the prime factors of 58724 and 58733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58724 and 58733.

How to find the GCF of 58724 and 58733?

We will first find the prime factorization of 58724 and 58733. After we will calculate the factors of 58724 and 58733 and find the biggest common factor number .

Step-1: Prime Factorization of 58724

Prime factors of 58724 are 2, 53, 277. Prime factorization of 58724 in exponential form is:

58724 = 2² × 53¹ × 277¹

Step-2: Prime Factorization of 58733

Prime factors of 58733 are 58733. Prime factorization of 58733 in exponential form is:

58733 = 58733¹

Step-3: Factors of 58724

List of positive integer factors of 58724 that divides 58724 without a remainder.

1, 2, 4, 53, 106, 212, 277, 554, 1108, 14681, 29362

Step-4: Factors of 58733

List of positive integer factors of 58733 that divides 58724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58724 and 58733. The biggest common factor number is the GCF number.
So the greatest common factor 58724 and 58733 is 1.

Also check out the Least Common Multiple of 58724 and 58733