What is the Greatest Common Factor of 24713 and 24726?

Greatest common factor (GCF) of 24713 and 24726 is 13.

GCF(24713,24726) = 13

We will now calculate the prime factors of 24713 and 24726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24713 and 24726.

How to find the GCF of 24713 and 24726?

We will first find the prime factorization of 24713 and 24726. After we will calculate the factors of 24713 and 24726 and find the biggest common factor number .

Step-1: Prime Factorization of 24713

Prime factors of 24713 are 13, 1901. Prime factorization of 24713 in exponential form is:

24713 = 13¹ × 1901¹

Step-2: Prime Factorization of 24726

Prime factors of 24726 are 2, 3, 13, 317. Prime factorization of 24726 in exponential form is:

24726 = 2¹ × 3¹ × 13¹ × 317¹

Step-3: Factors of 24713

List of positive integer factors of 24713 that divides 24713 without a remainder.

1, 13, 1901

Step-4: Factors of 24726

List of positive integer factors of 24726 that divides 24713 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 317, 634, 951, 1902, 4121, 8242, 12363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24713 and 24726. The biggest common factor number is the GCF number.
So the greatest common factor 24713 and 24726 is 13.

Also check out the Least Common Multiple of 24713 and 24726