What is the Greatest Common Factor of 26291 and 26307?

Greatest common factor (GCF) of 26291 and 26307 is 1.

GCF(26291,26307) = 1

We will now calculate the prime factors of 26291 and 26307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26291 and 26307.

How to find the GCF of 26291 and 26307?

We will first find the prime factorization of 26291 and 26307. After we will calculate the factors of 26291 and 26307 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 26307

Prime factors of 26307 are 3, 37, 79. Prime factorization of 26307 in exponential form is:

26307 = 3² × 37¹ × 79¹

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 26307

List of positive integer factors of 26307 that divides 26291 without a remainder.

1, 3, 9, 37, 79, 111, 237, 333, 711, 2923, 8769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26291 and 26307. The biggest common factor number is the GCF number.
So the greatest common factor 26291 and 26307 is 1.

Also check out the Least Common Multiple of 26291 and 26307