What is the Greatest Common Factor of 26319 and 26325?

Greatest common factor (GCF) of 26319 and 26325 is 3.

GCF(26319,26325) = 3

We will now calculate the prime factors of 26319 and 26325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26319 and 26325.

How to find the GCF of 26319 and 26325?

We will first find the prime factorization of 26319 and 26325. After we will calculate the factors of 26319 and 26325 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 26325

Prime factors of 26325 are 3, 5, 13. Prime factorization of 26325 in exponential form is:

26325 = 3⁴ × 5² × 13¹

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 26325

List of positive integer factors of 26325 that divides 26319 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26319 and 26325. The biggest common factor number is the GCF number.
So the greatest common factor 26319 and 26325 is 3.

Also check out the Least Common Multiple of 26319 and 26325