What is the Greatest Common Factor of 17130 and 17140?

Greatest common factor (GCF) of 17130 and 17140 is 10.

GCF(17130,17140) = 10

We will now calculate the prime factors of 17130 and 17140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17130 and 17140.

How to find the GCF of 17130 and 17140?

We will first find the prime factorization of 17130 and 17140. After we will calculate the factors of 17130 and 17140 and find the biggest common factor number .

Step-1: Prime Factorization of 17130

Prime factors of 17130 are 2, 3, 5, 571. Prime factorization of 17130 in exponential form is:

17130 = 2¹ × 3¹ × 5¹ × 571¹

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 17130

List of positive integer factors of 17130 that divides 17130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 571, 1142, 1713, 2855, 3426, 5710, 8565

Step-4: Factors of 17140

List of positive integer factors of 17140 that divides 17130 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 17130 and 17140. The biggest common factor number is the GCF number.
So the greatest common factor 17130 and 17140 is 10.

Also check out the Least Common Multiple of 17130 and 17140