What is the Greatest Common Factor of 17140 and 17155?

Greatest common factor (GCF) of 17140 and 17155 is 5.

GCF(17140,17155) = 5

We will now calculate the prime factors of 17140 and 17155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17155.

How to find the GCF of 17140 and 17155?

We will first find the prime factorization of 17140 and 17155. After we will calculate the factors of 17140 and 17155 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 17155

Prime factors of 17155 are 5, 47, 73. Prime factorization of 17155 in exponential form is:

17155 = 5¹ × 47¹ × 73¹

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 17155

List of positive integer factors of 17155 that divides 17140 without a remainder.

1, 5, 47, 73, 235, 365, 3431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17140 and 17155. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17155 is 5.

Also check out the Least Common Multiple of 17140 and 17155