What is the Greatest Common Factor of 17135 and 17140?

Greatest common factor (GCF) of 17135 and 17140 is 5.

GCF(17135,17140) = 5

We will now calculate the prime factors of 17135 and 17140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17135 and 17140.

How to find the GCF of 17135 and 17140?

We will first find the prime factorization of 17135 and 17140. After we will calculate the factors of 17135 and 17140 and find the biggest common factor number .

Step-1: Prime Factorization of 17135

Prime factors of 17135 are 5, 23, 149. Prime factorization of 17135 in exponential form is:

17135 = 5¹ × 23¹ × 149¹

Step-2: 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-3: Factors of 17135

List of positive integer factors of 17135 that divides 17135 without a remainder.

1, 5, 23, 115, 149, 745, 3427

Step-4: Factors of 17140

List of positive integer factors of 17140 that divides 17135 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17135 and 17140. The biggest common factor number is the GCF number.
So the greatest common factor 17135 and 17140 is 5.

Also check out the Least Common Multiple of 17135 and 17140