What is the Greatest Common Factor of 79025 and 79037?

Greatest common factor (GCF) of 79025 and 79037 is 1.

GCF(79025,79037) = 1

We will now calculate the prime factors of 79025 and 79037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79025 and 79037.

How to find the GCF of 79025 and 79037?

We will first find the prime factorization of 79025 and 79037. After we will calculate the factors of 79025 and 79037 and find the biggest common factor number .

Step-1: Prime Factorization of 79025

Prime factors of 79025 are 5, 29, 109. Prime factorization of 79025 in exponential form is:

79025 = 5² × 29¹ × 109¹

Step-2: Prime Factorization of 79037

Prime factors of 79037 are 7, 1613. Prime factorization of 79037 in exponential form is:

79037 = 7² × 1613¹

Step-3: Factors of 79025

List of positive integer factors of 79025 that divides 79025 without a remainder.

1, 5, 25, 29, 109, 145, 545, 725, 2725, 3161, 15805

Step-4: Factors of 79037

List of positive integer factors of 79037 that divides 79025 without a remainder.

1, 7, 49, 1613, 11291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79025 and 79037. The biggest common factor number is the GCF number.
So the greatest common factor 79025 and 79037 is 1.

Also check out the Least Common Multiple of 79025 and 79037