What is the Greatest Common Factor of 26304 and 26313?

Greatest common factor (GCF) of 26304 and 26313 is 3.

GCF(26304,26313) = 3

We will now calculate the prime factors of 26304 and 26313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26304 and 26313.

How to find the GCF of 26304 and 26313?

We will first find the prime factorization of 26304 and 26313. After we will calculate the factors of 26304 and 26313 and find the biggest common factor number .

Step-1: Prime Factorization of 26304

Prime factors of 26304 are 2, 3, 137. Prime factorization of 26304 in exponential form is:

26304 = 2⁶ × 3¹ × 137¹

Step-2: Prime Factorization of 26313

Prime factors of 26313 are 3, 7, 179. Prime factorization of 26313 in exponential form is:

26313 = 3¹ × 7² × 179¹

Step-3: Factors of 26304

List of positive integer factors of 26304 that divides 26304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 137, 192, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 4384, 6576, 8768, 13152

Step-4: Factors of 26313

List of positive integer factors of 26313 that divides 26304 without a remainder.

1, 3, 7, 21, 49, 147, 179, 537, 1253, 3759, 8771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26304 and 26313. The biggest common factor number is the GCF number.
So the greatest common factor 26304 and 26313 is 3.

Also check out the Least Common Multiple of 26304 and 26313