What is the Greatest Common Factor of 26325 and 26338?

Greatest common factor (GCF) of 26325 and 26338 is 13.

GCF(26325,26338) = 13

We will now calculate the prime factors of 26325 and 26338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26325 and 26338.

How to find the GCF of 26325 and 26338?

We will first find the prime factorization of 26325 and 26338. After we will calculate the factors of 26325 and 26338 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26338

Prime factors of 26338 are 2, 13, 1013. Prime factorization of 26338 in exponential form is:

26338 = 2¹ × 13¹ × 1013¹

Step-3: Factors of 26325

List of positive integer factors of 26325 that divides 26325 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

Step-4: Factors of 26338

List of positive integer factors of 26338 that divides 26325 without a remainder.

1, 2, 13, 26, 1013, 2026, 13169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26325 and 26338. The biggest common factor number is the GCF number.
So the greatest common factor 26325 and 26338 is 13.

Also check out the Least Common Multiple of 26325 and 26338