What is the Greatest Common Factor of 26345 and 26356?

Greatest common factor (GCF) of 26345 and 26356 is 11.

GCF(26345,26356) = 11

We will now calculate the prime factors of 26345 and 26356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26345 and 26356.

How to find the GCF of 26345 and 26356?

We will first find the prime factorization of 26345 and 26356. After we will calculate the factors of 26345 and 26356 and find the biggest common factor number .

Step-1: Prime Factorization of 26345

Prime factors of 26345 are 5, 11, 479. Prime factorization of 26345 in exponential form is:

26345 = 5¹ × 11¹ × 479¹

Step-2: Prime Factorization of 26356

Prime factors of 26356 are 2, 11, 599. Prime factorization of 26356 in exponential form is:

26356 = 2² × 11¹ × 599¹

Step-3: Factors of 26345

List of positive integer factors of 26345 that divides 26345 without a remainder.

1, 5, 11, 55, 479, 2395, 5269

Step-4: Factors of 26356

List of positive integer factors of 26356 that divides 26345 without a remainder.

1, 2, 4, 11, 22, 44, 599, 1198, 2396, 6589, 13178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26345 and 26356. The biggest common factor number is the GCF number.
So the greatest common factor 26345 and 26356 is 11.

Also check out the Least Common Multiple of 26345 and 26356