What is the Greatest Common Factor of 26601 and 26617?

Greatest common factor (GCF) of 26601 and 26617 is 1.

GCF(26601,26617) = 1

We will now calculate the prime factors of 26601 and 26617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26601 and 26617.

How to find the GCF of 26601 and 26617?

We will first find the prime factorization of 26601 and 26617. After we will calculate the factors of 26601 and 26617 and find the biggest common factor number .

Step-1: Prime Factorization of 26601

Prime factors of 26601 are 3, 8867. Prime factorization of 26601 in exponential form is:

26601 = 3¹ × 8867¹

Step-2: Prime Factorization of 26617

Prime factors of 26617 are 43, 619. Prime factorization of 26617 in exponential form is:

26617 = 43¹ × 619¹

Step-3: Factors of 26601

List of positive integer factors of 26601 that divides 26601 without a remainder.

1, 3, 8867

Step-4: Factors of 26617

List of positive integer factors of 26617 that divides 26601 without a remainder.

1, 43, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26601 and 26617. The biggest common factor number is the GCF number.
So the greatest common factor 26601 and 26617 is 1.

Also check out the Least Common Multiple of 26601 and 26617