What is the Greatest Common Factor of 17140 and 17149?

Greatest common factor (GCF) of 17140 and 17149 is 1.

GCF(17140,17149) = 1

We will now calculate the prime factors of 17140 and 17149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17140 and 17149.

How to find the GCF of 17140 and 17149?

We will first find the prime factorization of 17140 and 17149. After we will calculate the factors of 17140 and 17149 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 17149

Prime factors of 17149 are 11, 1559. Prime factorization of 17149 in exponential form is:

17149 = 11¹ × 1559¹

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 17149

List of positive integer factors of 17149 that divides 17140 without a remainder.

1, 11, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17140 and 17149. The biggest common factor number is the GCF number.
So the greatest common factor 17140 and 17149 is 1.

Also check out the Least Common Multiple of 17140 and 17149