What is the Greatest Common Factor of 23517 and 23526?

Greatest common factor (GCF) of 23517 and 23526 is 9.

GCF(23517,23526) = 9

We will now calculate the prime factors of 23517 and 23526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23517 and 23526.

How to find the GCF of 23517 and 23526?

We will first find the prime factorization of 23517 and 23526. After we will calculate the factors of 23517 and 23526 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 23526

Prime factors of 23526 are 2, 3, 1307. Prime factorization of 23526 in exponential form is:

23526 = 2¹ × 3² × 1307¹

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 23526

List of positive integer factors of 23526 that divides 23517 without a remainder.

1, 2, 3, 6, 9, 18, 1307, 2614, 3921, 7842, 11763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23517 and 23526. The biggest common factor number is the GCF number.
So the greatest common factor 23517 and 23526 is 9.

Also check out the Least Common Multiple of 23517 and 23526