What is the Greatest Common Factor of 26466 and 26477?

Greatest common factor (GCF) of 26466 and 26477 is 11.

GCF(26466,26477) = 11

We will now calculate the prime factors of 26466 and 26477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26466 and 26477.

How to find the GCF of 26466 and 26477?

We will first find the prime factorization of 26466 and 26477. After we will calculate the factors of 26466 and 26477 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 26477

Prime factors of 26477 are 11, 29, 83. Prime factorization of 26477 in exponential form is:

26477 = 11¹ × 29¹ × 83¹

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 26477

List of positive integer factors of 26477 that divides 26466 without a remainder.

1, 11, 29, 83, 319, 913, 2407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26466 and 26477. The biggest common factor number is the GCF number.
So the greatest common factor 26466 and 26477 is 11.

Also check out the Least Common Multiple of 26466 and 26477