What is the Greatest Common Factor of 58945 and 58957?

Greatest common factor (GCF) of 58945 and 58957 is 1.

GCF(58945,58957) = 1

We will now calculate the prime factors of 58945 and 58957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58945 and 58957.

How to find the GCF of 58945 and 58957?

We will first find the prime factorization of 58945 and 58957. After we will calculate the factors of 58945 and 58957 and find the biggest common factor number .

Step-1: Prime Factorization of 58945

Prime factors of 58945 are 5, 11789. Prime factorization of 58945 in exponential form is:

58945 = 5¹ × 11789¹

Step-2: Prime Factorization of 58957

Prime factors of 58957 are 19, 29, 107. Prime factorization of 58957 in exponential form is:

58957 = 19¹ × 29¹ × 107¹

Step-3: Factors of 58945

List of positive integer factors of 58945 that divides 58945 without a remainder.

1, 5, 11789

Step-4: Factors of 58957

List of positive integer factors of 58957 that divides 58945 without a remainder.

1, 19, 29, 107, 551, 2033, 3103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58945 and 58957. The biggest common factor number is the GCF number.
So the greatest common factor 58945 and 58957 is 1.

Also check out the Least Common Multiple of 58945 and 58957