What is the Greatest Common Factor of 17140 and 17156?

Greatest common factor (GCF) of 17140 and 17156 is 4.

GCF(17140,17156) = 4

We will now calculate the prime factors of 17140 and 17156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17156.

How to find the GCF of 17140 and 17156?

We will first find the prime factorization of 17140 and 17156. After we will calculate the factors of 17140 and 17156 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 17156

Prime factors of 17156 are 2, 4289. Prime factorization of 17156 in exponential form is:

17156 = 2² × 4289¹

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 17156

List of positive integer factors of 17156 that divides 17140 without a remainder.

1, 2, 4, 4289, 8578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17140 and 17156. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17156 is 4.

Also check out the Least Common Multiple of 17140 and 17156