What is the Greatest Common Factor of 26304 and 26319?

Greatest common factor (GCF) of 26304 and 26319 is 3.

GCF(26304,26319) = 3

We will now calculate the prime factors of 26304 and 26319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26304 and 26319.

How to find the GCF of 26304 and 26319?

We will first find the prime factorization of 26304 and 26319. After we will calculate the factors of 26304 and 26319 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 26319

Prime factors of 26319 are 3, 31, 283. Prime factorization of 26319 in exponential form is:

26319 = 3¹ × 31¹ × 283¹

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 26319

List of positive integer factors of 26319 that divides 26304 without a remainder.

1, 3, 31, 93, 283, 849, 8773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26304 and 26319. The biggest common factor number is the GCF number.
So the greatest common factor 26304 and 26319 is 3.

Also check out the Least Common Multiple of 26304 and 26319