What is the Greatest Common Factor of 79145 and 79160?

Greatest common factor (GCF) of 79145 and 79160 is 5.

GCF(79145,79160) = 5

We will now calculate the prime factors of 79145 and 79160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79145 and 79160.

How to find the GCF of 79145 and 79160?

We will first find the prime factorization of 79145 and 79160. After we will calculate the factors of 79145 and 79160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79160

Prime factors of 79160 are 2, 5, 1979. Prime factorization of 79160 in exponential form is:

79160 = 2³ × 5¹ × 1979¹

Step-3: Factors of 79145

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

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

Step-4: Factors of 79160

List of positive integer factors of 79160 that divides 79145 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1979, 3958, 7916, 9895, 15832, 19790, 39580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79145 and 79160. The biggest common factor number is the GCF number.
So the greatest common factor 79145 and 79160 is 5.

Also check out the Least Common Multiple of 79145 and 79160