What is the Greatest Common Factor of 23517 and 23523?

Greatest common factor (GCF) of 23517 and 23523 is 3.

GCF(23517,23523) = 3

We will now calculate the prime factors of 23517 and 23523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23517 and 23523.

How to find the GCF of 23517 and 23523?

We will first find the prime factorization of 23517 and 23523. After we will calculate the factors of 23517 and 23523 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23523

Prime factors of 23523 are 3, 7841. Prime factorization of 23523 in exponential form is:

23523 = 3¹ × 7841¹

Step-3: Factors of 23517

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

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

Step-4: Factors of 23523

List of positive integer factors of 23523 that divides 23517 without a remainder.

1, 3, 7841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23517 and 23523. The biggest common factor number is the GCF number.
So the greatest common factor 23517 and 23523 is 3.

Also check out the Least Common Multiple of 23517 and 23523