What is the Greatest Common Factor of 79078 and 79097?

Greatest common factor (GCF) of 79078 and 79097 is 19.

GCF(79078,79097) = 19

We will now calculate the prime factors of 79078 and 79097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79078 and 79097.

How to find the GCF of 79078 and 79097?

We will first find the prime factorization of 79078 and 79097. After we will calculate the factors of 79078 and 79097 and find the biggest common factor number .

Step-1: Prime Factorization of 79078

Prime factors of 79078 are 2, 19, 2081. Prime factorization of 79078 in exponential form is:

79078 = 2¹ × 19¹ × 2081¹

Step-2: Prime Factorization of 79097

Prime factors of 79097 are 19, 23, 181. Prime factorization of 79097 in exponential form is:

79097 = 19¹ × 23¹ × 181¹

Step-3: Factors of 79078

List of positive integer factors of 79078 that divides 79078 without a remainder.

1, 2, 19, 38, 2081, 4162, 39539

Step-4: Factors of 79097

List of positive integer factors of 79097 that divides 79078 without a remainder.

1, 19, 23, 181, 437, 3439, 4163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79078 and 79097. The biggest common factor number is the GCF number.
So the greatest common factor 79078 and 79097 is 19.

Also check out the Least Common Multiple of 79078 and 79097