What is the Greatest Common Factor of 26338 and 26356?

Greatest common factor (GCF) of 26338 and 26356 is 2.

GCF(26338,26356) = 2

We will now calculate the prime factors of 26338 and 26356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26338 and 26356.

How to find the GCF of 26338 and 26356?

We will first find the prime factorization of 26338 and 26356. After we will calculate the factors of 26338 and 26356 and find the biggest common factor number .

Step-1: 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-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 26338

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

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

Step-4: Factors of 26356

List of positive integer factors of 26356 that divides 26338 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 26338 and 26356. The biggest common factor number is the GCF number.
So the greatest common factor 26338 and 26356 is 2.

Also check out the Least Common Multiple of 26338 and 26356