What is the Greatest Common Factor of 17340 and 17352?

Greatest common factor (GCF) of 17340 and 17352 is 12.

GCF(17340,17352) = 12

We will now calculate the prime factors of 17340 and 17352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17340 and 17352.

How to find the GCF of 17340 and 17352?

We will first find the prime factorization of 17340 and 17352. After we will calculate the factors of 17340 and 17352 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 17352

Prime factors of 17352 are 2, 3, 241. Prime factorization of 17352 in exponential form is:

17352 = 2³ × 3² × 241¹

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 17352

List of positive integer factors of 17352 that divides 17340 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 241, 482, 723, 964, 1446, 1928, 2169, 2892, 4338, 5784, 8676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17340 and 17352. The biggest common factor number is the GCF number.
So the greatest common factor 17340 and 17352 is 12.

Also check out the Least Common Multiple of 17340 and 17352