What is the Greatest Common Factor of 17140 and 17150?

Greatest common factor (GCF) of 17140 and 17150 is 10.

GCF(17140,17150) = 10

We will now calculate the prime factors of 17140 and 17150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17150.

How to find the GCF of 17140 and 17150?

We will first find the prime factorization of 17140 and 17150. After we will calculate the factors of 17140 and 17150 and find the biggest common factor number .

Step-1: Prime Factorization of 17140

Prime factors of 17140 are 2, 5, 857. Prime factorization of 17140 in exponential form is:

17140 = 2² × 5¹ × 857¹

Step-2: Prime Factorization of 17150

Prime factors of 17150 are 2, 5, 7. Prime factorization of 17150 in exponential form is:

17150 = 2¹ × 5² × 7³

Step-3: Factors of 17140

List of positive integer factors of 17140 that divides 17140 without a remainder.

1, 2, 4, 5, 10, 20, 857, 1714, 3428, 4285, 8570

Step-4: Factors of 17150

List of positive integer factors of 17150 that divides 17140 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 343, 350, 490, 686, 1225, 1715, 2450, 3430, 8575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17140 and 17150. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17150 is 10.

Also check out the Least Common Multiple of 17140 and 17150