What is the Greatest Common Factor of 5070 and 5079?

Greatest common factor (GCF) of 5070 and 5079 is 3.

GCF(5070,5079) = 3

We will now calculate the prime factors of 5070 and 5079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5070 and 5079.

How to find the GCF of 5070 and 5079?

We will first find the prime factorization of 5070 and 5079. After we will calculate the factors of 5070 and 5079 and find the biggest common factor number .

Step-1: Prime Factorization of 5070

Prime factors of 5070 are 2, 3, 5, 13. Prime factorization of 5070 in exponential form is:

5070 = 2¹ × 3¹ × 5¹ × 13²

Step-2: Prime Factorization of 5079

Prime factors of 5079 are 3, 1693. Prime factorization of 5079 in exponential form is:

5079 = 3¹ × 1693¹

Step-3: Factors of 5070

List of positive integer factors of 5070 that divides 5070 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535

Step-4: Factors of 5079

List of positive integer factors of 5079 that divides 5070 without a remainder.

1, 3, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5070 and 5079. The biggest common factor number is the GCF number.
So the greatest common factor 5070 and 5079 is 3.

Also check out the Least Common Multiple of 5070 and 5079