What is the Greatest Common Factor of 23502 and 23517?

Greatest common factor (GCF) of 23502 and 23517 is 3.

GCF(23502,23517) = 3

We will now calculate the prime factors of 23502 and 23517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23502 and 23517.

How to find the GCF of 23502 and 23517?

We will first find the prime factorization of 23502 and 23517. After we will calculate the factors of 23502 and 23517 and find the biggest common factor number .

Step-1: Prime Factorization of 23502

Prime factors of 23502 are 2, 3, 3917. Prime factorization of 23502 in exponential form is:

23502 = 2¹ × 3¹ × 3917¹

Step-2: Prime Factorization of 23517

Prime factors of 23517 are 3, 13, 67. Prime factorization of 23517 in exponential form is:

23517 = 3³ × 13¹ × 67¹

Step-3: Factors of 23502

List of positive integer factors of 23502 that divides 23502 without a remainder.

1, 2, 3, 6, 3917, 7834, 11751

Step-4: Factors of 23517

List of positive integer factors of 23517 that divides 23502 without a remainder.

1, 3, 9, 13, 27, 39, 67, 117, 201, 351, 603, 871, 1809, 2613, 7839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23502 and 23517. The biggest common factor number is the GCF number.
So the greatest common factor 23502 and 23517 is 3.

Also check out the Least Common Multiple of 23502 and 23517