What is the Greatest Common Factor of 17130 and 17135?

Greatest common factor (GCF) of 17130 and 17135 is 5.

GCF(17130,17135) = 5

We will now calculate the prime factors of 17130 and 17135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17130 and 17135.

How to find the GCF of 17130 and 17135?

We will first find the prime factorization of 17130 and 17135. After we will calculate the factors of 17130 and 17135 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 17135

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

17135 = 5¹ × 23¹ × 149¹

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 17135

List of positive integer factors of 17135 that divides 17130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17130 and 17135. The biggest common factor number is the GCF number.
So the greatest common factor 17130 and 17135 is 5.

Also check out the Least Common Multiple of 17130 and 17135