What is the Greatest Common Factor of 79025 and 79045?

Greatest common factor (GCF) of 79025 and 79045 is 5.

GCF(79025,79045) = 5

We will now calculate the prime factors of 79025 and 79045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79025 and 79045.

How to find the GCF of 79025 and 79045?

We will first find the prime factorization of 79025 and 79045. After we will calculate the factors of 79025 and 79045 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 79045

Prime factors of 79045 are 5, 15809. Prime factorization of 79045 in exponential form is:

79045 = 5¹ × 15809¹

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 79045

List of positive integer factors of 79045 that divides 79025 without a remainder.

1, 5, 15809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79025 and 79045. The biggest common factor number is the GCF number.
So the greatest common factor 79025 and 79045 is 5.

Also check out the Least Common Multiple of 79025 and 79045