What is the Greatest Common Factor of 79250 and 79259?

Greatest common factor (GCF) of 79250 and 79259 is 1.

GCF(79250,79259) = 1

We will now calculate the prime factors of 79250 and 79259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79250 and 79259.

How to find the GCF of 79250 and 79259?

We will first find the prime factorization of 79250 and 79259. After we will calculate the factors of 79250 and 79259 and find the biggest common factor number .

Step-1: Prime Factorization of 79250

Prime factors of 79250 are 2, 5, 317. Prime factorization of 79250 in exponential form is:

79250 = 2¹ × 5³ × 317¹

Step-2: Prime Factorization of 79259

Prime factors of 79259 are 79259. Prime factorization of 79259 in exponential form is:

79259 = 79259¹

Step-3: Factors of 79250

List of positive integer factors of 79250 that divides 79250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 317, 634, 1585, 3170, 7925, 15850, 39625

Step-4: Factors of 79259

List of positive integer factors of 79259 that divides 79250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79250 and 79259. The biggest common factor number is the GCF number.
So the greatest common factor 79250 and 79259 is 1.

Also check out the Least Common Multiple of 79250 and 79259