What is the Greatest Common Factor of 58724 and 58735?

Greatest common factor (GCF) of 58724 and 58735 is 1.

GCF(58724,58735) = 1

We will now calculate the prime factors of 58724 and 58735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58724 and 58735.

How to find the GCF of 58724 and 58735?

We will first find the prime factorization of 58724 and 58735. After we will calculate the factors of 58724 and 58735 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 58735

Prime factors of 58735 are 5, 17, 691. Prime factorization of 58735 in exponential form is:

58735 = 5¹ × 17¹ × 691¹

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 58735

List of positive integer factors of 58735 that divides 58724 without a remainder.

1, 5, 17, 85, 691, 3455, 11747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58724 and 58735. The biggest common factor number is the GCF number.
So the greatest common factor 58724 and 58735 is 1.

Also check out the Least Common Multiple of 58724 and 58735