What is the Greatest Common Factor of 17150 and 17164?

Greatest common factor (GCF) of 17150 and 17164 is 14.

GCF(17150,17164) = 14

We will now calculate the prime factors of 17150 and 17164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17150 and 17164.

How to find the GCF of 17150 and 17164?

We will first find the prime factorization of 17150 and 17164. After we will calculate the factors of 17150 and 17164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17164

Prime factors of 17164 are 2, 7, 613. Prime factorization of 17164 in exponential form is:

17164 = 2² × 7¹ × 613¹

Step-3: Factors of 17150

List of positive integer factors of 17150 that divides 17150 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

Step-4: Factors of 17164

List of positive integer factors of 17164 that divides 17150 without a remainder.

1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17150 and 17164. The biggest common factor number is the GCF number.
So the greatest common factor 17150 and 17164 is 14.

Also check out the Least Common Multiple of 17150 and 17164