What is the Greatest Common Factor of 26466 and 26475?

Greatest common factor (GCF) of 26466 and 26475 is 3.

GCF(26466,26475) = 3

We will now calculate the prime factors of 26466 and 26475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26466 and 26475.

How to find the GCF of 26466 and 26475?

We will first find the prime factorization of 26466 and 26475. After we will calculate the factors of 26466 and 26475 and find the biggest common factor number .

Step-1: Prime Factorization of 26466

Prime factors of 26466 are 2, 3, 11, 401. Prime factorization of 26466 in exponential form is:

26466 = 2¹ × 3¹ × 11¹ × 401¹

Step-2: Prime Factorization of 26475

Prime factors of 26475 are 3, 5, 353. Prime factorization of 26475 in exponential form is:

26475 = 3¹ × 5² × 353¹

Step-3: Factors of 26466

List of positive integer factors of 26466 that divides 26466 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 401, 802, 1203, 2406, 4411, 8822, 13233

Step-4: Factors of 26475

List of positive integer factors of 26475 that divides 26466 without a remainder.

1, 3, 5, 15, 25, 75, 353, 1059, 1765, 5295, 8825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26466 and 26475. The biggest common factor number is the GCF number.
So the greatest common factor 26466 and 26475 is 3.

Also check out the Least Common Multiple of 26466 and 26475