What is the Greatest Common Factor of 58075 and 58079?

Greatest common factor (GCF) of 58075 and 58079 is 1.

GCF(58075,58079) = 1

We will now calculate the prime factors of 58075 and 58079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58075 and 58079.

How to find the GCF of 58075 and 58079?

We will first find the prime factorization of 58075 and 58079. After we will calculate the factors of 58075 and 58079 and find the biggest common factor number .

Step-1: Prime Factorization of 58075

Prime factors of 58075 are 5, 23, 101. Prime factorization of 58075 in exponential form is:

58075 = 5² × 23¹ × 101¹

Step-2: Prime Factorization of 58079

Prime factors of 58079 are 7, 8297. Prime factorization of 58079 in exponential form is:

58079 = 7¹ × 8297¹

Step-3: Factors of 58075

List of positive integer factors of 58075 that divides 58075 without a remainder.

1, 5, 23, 25, 101, 115, 505, 575, 2323, 2525, 11615

Step-4: Factors of 58079

List of positive integer factors of 58079 that divides 58075 without a remainder.

1, 7, 8297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58075 and 58079. The biggest common factor number is the GCF number.
So the greatest common factor 58075 and 58079 is 1.

Also check out the Least Common Multiple of 58075 and 58079