What is the Greatest Common Factor of 79130 and 79145?

Greatest common factor (GCF) of 79130 and 79145 is 5.

GCF(79130,79145) = 5

We will now calculate the prime factors of 79130 and 79145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79130 and 79145.

How to find the GCF of 79130 and 79145?

We will first find the prime factorization of 79130 and 79145. After we will calculate the factors of 79130 and 79145 and find the biggest common factor number .

Step-1: Prime Factorization of 79130

Prime factors of 79130 are 2, 5, 41, 193. Prime factorization of 79130 in exponential form is:

79130 = 2¹ × 5¹ × 41¹ × 193¹

Step-2: Prime Factorization of 79145

Prime factors of 79145 are 5, 11, 1439. Prime factorization of 79145 in exponential form is:

79145 = 5¹ × 11¹ × 1439¹

Step-3: Factors of 79130

List of positive integer factors of 79130 that divides 79130 without a remainder.

1, 2, 5, 10, 41, 82, 193, 205, 386, 410, 965, 1930, 7913, 15826, 39565

Step-4: Factors of 79145

List of positive integer factors of 79145 that divides 79130 without a remainder.

1, 5, 11, 55, 1439, 7195, 15829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79130 and 79145. The biggest common factor number is the GCF number.
So the greatest common factor 79130 and 79145 is 5.

Also check out the Least Common Multiple of 79130 and 79145