What is the Greatest Common Factor of 79014 and 79027?

Greatest common factor (GCF) of 79014 and 79027 is 13.

GCF(79014,79027) = 13

We will now calculate the prime factors of 79014 and 79027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79014 and 79027.

How to find the GCF of 79014 and 79027?

We will first find the prime factorization of 79014 and 79027. After we will calculate the factors of 79014 and 79027 and find the biggest common factor number .

Step-1: Prime Factorization of 79014

Prime factors of 79014 are 2, 3, 13, 1013. Prime factorization of 79014 in exponential form is:

79014 = 2¹ × 3¹ × 13¹ × 1013¹

Step-2: Prime Factorization of 79027

Prime factors of 79027 are 13, 6079. Prime factorization of 79027 in exponential form is:

79027 = 13¹ × 6079¹

Step-3: Factors of 79014

List of positive integer factors of 79014 that divides 79014 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1013, 2026, 3039, 6078, 13169, 26338, 39507

Step-4: Factors of 79027

List of positive integer factors of 79027 that divides 79014 without a remainder.

1, 13, 6079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79014 and 79027. The biggest common factor number is the GCF number.
So the greatest common factor 79014 and 79027 is 13.

Also check out the Least Common Multiple of 79014 and 79027