What is the Greatest Common Factor of 17340 and 17355?

Greatest common factor (GCF) of 17340 and 17355 is 15.

GCF(17340,17355) = 15

We will now calculate the prime factors of 17340 and 17355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17340 and 17355.

How to find the GCF of 17340 and 17355?

We will first find the prime factorization of 17340 and 17355. After we will calculate the factors of 17340 and 17355 and find the biggest common factor number .

Step-1: Prime Factorization of 17340

Prime factors of 17340 are 2, 3, 5, 17. Prime factorization of 17340 in exponential form is:

17340 = 2² × 3¹ × 5¹ × 17²

Step-2: Prime Factorization of 17355

Prime factors of 17355 are 3, 5, 13, 89. Prime factorization of 17355 in exponential form is:

17355 = 3¹ × 5¹ × 13¹ × 89¹

Step-3: Factors of 17340

List of positive integer factors of 17340 that divides 17340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 85, 102, 170, 204, 255, 289, 340, 510, 578, 867, 1020, 1156, 1445, 1734, 2890, 3468, 4335, 5780, 8670

Step-4: Factors of 17355

List of positive integer factors of 17355 that divides 17340 without a remainder.

1, 3, 5, 13, 15, 39, 65, 89, 195, 267, 445, 1157, 1335, 3471, 5785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17340 and 17355. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17355 is 15.

Also check out the Least Common Multiple of 17340 and 17355