What is the Greatest Common Factor of 26319 and 26331?

Greatest common factor (GCF) of 26319 and 26331 is 3.

GCF(26319,26331) = 3

We will now calculate the prime factors of 26319 and 26331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26319 and 26331.

How to find the GCF of 26319 and 26331?

We will first find the prime factorization of 26319 and 26331. After we will calculate the factors of 26319 and 26331 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26331

Prime factors of 26331 are 3, 67, 131. Prime factorization of 26331 in exponential form is:

26331 = 3¹ × 67¹ × 131¹

Step-3: Factors of 26319

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

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

Step-4: Factors of 26331

List of positive integer factors of 26331 that divides 26319 without a remainder.

1, 3, 67, 131, 201, 393, 8777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26319 and 26331. The biggest common factor number is the GCF number.
So the greatest common factor 26319 and 26331 is 3.

Also check out the Least Common Multiple of 26319 and 26331