What is the Greatest Common Factor of 15140 and 15160?

Greatest common factor (GCF) of 15140 and 15160 is 20.

GCF(15140,15160) = 20

We will now calculate the prime factors of 15140 and 15160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15140 and 15160.

How to find the GCF of 15140 and 15160?

We will first find the prime factorization of 15140 and 15160. After we will calculate the factors of 15140 and 15160 and find the biggest common factor number .

Step-1: Prime Factorization of 15140

Prime factors of 15140 are 2, 5, 757. Prime factorization of 15140 in exponential form is:

15140 = 2² × 5¹ × 757¹

Step-2: Prime Factorization of 15160

Prime factors of 15160 are 2, 5, 379. Prime factorization of 15160 in exponential form is:

15160 = 2³ × 5¹ × 379¹

Step-3: Factors of 15140

List of positive integer factors of 15140 that divides 15140 without a remainder.

1, 2, 4, 5, 10, 20, 757, 1514, 3028, 3785, 7570

Step-4: Factors of 15160

List of positive integer factors of 15160 that divides 15140 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 379, 758, 1516, 1895, 3032, 3790, 7580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15140 and 15160. The biggest common factor number is the GCF number.
So the greatest common factor 15140 and 15160 is 20.

Also check out the Least Common Multiple of 15140 and 15160