What is the Greatest Common Factor of 15140 and 15150?

Greatest common factor (GCF) of 15140 and 15150 is 10.

GCF(15140,15150) = 10

We will now calculate the prime factors of 15140 and 15150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15140 and 15150.

How to find the GCF of 15140 and 15150?

We will first find the prime factorization of 15140 and 15150. After we will calculate the factors of 15140 and 15150 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 15150

Prime factors of 15150 are 2, 3, 5, 101. Prime factorization of 15150 in exponential form is:

15150 = 2¹ × 3¹ × 5² × 101¹

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 15150

List of positive integer factors of 15150 that divides 15140 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 101, 150, 202, 303, 505, 606, 1010, 1515, 2525, 3030, 5050, 7575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15140 and 15150. The biggest common factor number is the GCF number.
So the greatest common factor 15140 and 15150 is 10.

Also check out the Least Common Multiple of 15140 and 15150