What is the Greatest Common Factor of 79025 and 79033?

Greatest common factor (GCF) of 79025 and 79033 is 1.

GCF(79025,79033) = 1

We will now calculate the prime factors of 79025 and 79033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79025 and 79033.

How to find the GCF of 79025 and 79033?

We will first find the prime factorization of 79025 and 79033. After we will calculate the factors of 79025 and 79033 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 79033

Prime factors of 79033 are 17, 4649. Prime factorization of 79033 in exponential form is:

79033 = 17¹ × 4649¹

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 79033

List of positive integer factors of 79033 that divides 79025 without a remainder.

1, 17, 4649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79025 and 79033. The biggest common factor number is the GCF number.
So the greatest common factor 79025 and 79033 is 1.

Also check out the Least Common Multiple of 79025 and 79033