What is the Greatest Common Factor of 79008 and 79025?

Greatest common factor (GCF) of 79008 and 79025 is 1.

GCF(79008,79025) = 1

We will now calculate the prime factors of 79008 and 79025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79008 and 79025.

How to find the GCF of 79008 and 79025?

We will first find the prime factorization of 79008 and 79025. After we will calculate the factors of 79008 and 79025 and find the biggest common factor number .

Step-1: Prime Factorization of 79008

Prime factors of 79008 are 2, 3, 823. Prime factorization of 79008 in exponential form is:

79008 = 2⁵ × 3¹ × 823¹

Step-2: 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-3: Factors of 79008

List of positive integer factors of 79008 that divides 79008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 823, 1646, 2469, 3292, 4938, 6584, 9876, 13168, 19752, 26336, 39504

Step-4: Factors of 79025

List of positive integer factors of 79025 that divides 79008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79008 and 79025. The biggest common factor number is the GCF number.
So the greatest common factor 79008 and 79025 is 1.

Also check out the Least Common Multiple of 79008 and 79025