What is the Greatest Common Factor of 17484 and 17502?

Greatest common factor (GCF) of 17484 and 17502 is 6.

GCF(17484,17502) = 6

We will now calculate the prime factors of 17484 and 17502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17484 and 17502.

How to find the GCF of 17484 and 17502?

We will first find the prime factorization of 17484 and 17502. After we will calculate the factors of 17484 and 17502 and find the biggest common factor number .

Step-1: Prime Factorization of 17484

Prime factors of 17484 are 2, 3, 31, 47. Prime factorization of 17484 in exponential form is:

17484 = 2² × 3¹ × 31¹ × 47¹

Step-2: Prime Factorization of 17502

Prime factors of 17502 are 2, 3, 2917. Prime factorization of 17502 in exponential form is:

17502 = 2¹ × 3¹ × 2917¹

Step-3: Factors of 17484

List of positive integer factors of 17484 that divides 17484 without a remainder.

1, 2, 3, 4, 6, 12, 31, 47, 62, 93, 94, 124, 141, 186, 188, 282, 372, 564, 1457, 2914, 4371, 5828, 8742

Step-4: Factors of 17502

List of positive integer factors of 17502 that divides 17484 without a remainder.

1, 2, 3, 6, 2917, 5834, 8751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17484 and 17502. The biggest common factor number is the GCF number.
So the greatest common factor 17484 and 17502 is 6.

Also check out the Least Common Multiple of 17484 and 17502