What is the Greatest Common Factor of 79130 and 79140?

Greatest common factor (GCF) of 79130 and 79140 is 10.

GCF(79130,79140) = 10

We will now calculate the prime factors of 79130 and 79140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79130 and 79140.

How to find the GCF of 79130 and 79140?

We will first find the prime factorization of 79130 and 79140. After we will calculate the factors of 79130 and 79140 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 79140

Prime factors of 79140 are 2, 3, 5, 1319. Prime factorization of 79140 in exponential form is:

79140 = 2² × 3¹ × 5¹ × 1319¹

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 79140

List of positive integer factors of 79140 that divides 79130 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1319, 2638, 3957, 5276, 6595, 7914, 13190, 15828, 19785, 26380, 39570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79130 and 79140. The biggest common factor number is the GCF number.
So the greatest common factor 79130 and 79140 is 10.

Also check out the Least Common Multiple of 79130 and 79140