What is the Greatest Common Factor of 26589 and 26607?

Greatest common factor (GCF) of 26589 and 26607 is 3.

GCF(26589,26607) = 3

We will now calculate the prime factors of 26589 and 26607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26589 and 26607.

How to find the GCF of 26589 and 26607?

We will first find the prime factorization of 26589 and 26607. After we will calculate the factors of 26589 and 26607 and find the biggest common factor number .

Step-1: Prime Factorization of 26589

Prime factors of 26589 are 3, 8863. Prime factorization of 26589 in exponential form is:

26589 = 3¹ × 8863¹

Step-2: Prime Factorization of 26607

Prime factors of 26607 are 3, 7, 181. Prime factorization of 26607 in exponential form is:

26607 = 3¹ × 7² × 181¹

Step-3: Factors of 26589

List of positive integer factors of 26589 that divides 26589 without a remainder.

1, 3, 8863

Step-4: Factors of 26607

List of positive integer factors of 26607 that divides 26589 without a remainder.

1, 3, 7, 21, 49, 147, 181, 543, 1267, 3801, 8869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26589 and 26607. The biggest common factor number is the GCF number.
So the greatest common factor 26589 and 26607 is 3.

Also check out the Least Common Multiple of 26589 and 26607