What is the Greatest Common Factor of 26291 and 26309?

Greatest common factor (GCF) of 26291 and 26309 is 1.

GCF(26291,26309) = 1

We will now calculate the prime factors of 26291 and 26309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26291 and 26309.

How to find the GCF of 26291 and 26309?

We will first find the prime factorization of 26291 and 26309. After we will calculate the factors of 26291 and 26309 and find the biggest common factor number .

Step-1: Prime Factorization of 26291

Prime factors of 26291 are 61, 431. Prime factorization of 26291 in exponential form is:

26291 = 61¹ × 431¹

Step-2: Prime Factorization of 26309

Prime factors of 26309 are 26309. Prime factorization of 26309 in exponential form is:

26309 = 26309¹

Step-3: Factors of 26291

List of positive integer factors of 26291 that divides 26291 without a remainder.

1, 61, 431

Step-4: Factors of 26309

List of positive integer factors of 26309 that divides 26291 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26291 and 26309. The biggest common factor number is the GCF number.
So the greatest common factor 26291 and 26309 is 1.

Also check out the Least Common Multiple of 26291 and 26309