What is the Greatest Common Factor of 26658 and 26667?

Greatest common factor (GCF) of 26658 and 26667 is 9.

GCF(26658,26667) = 9

We will now calculate the prime factors of 26658 and 26667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26658 and 26667.

How to find the GCF of 26658 and 26667?

We will first find the prime factorization of 26658 and 26667. After we will calculate the factors of 26658 and 26667 and find the biggest common factor number .

Step-1: Prime Factorization of 26658

Prime factors of 26658 are 2, 3, 1481. Prime factorization of 26658 in exponential form is:

26658 = 2¹ × 3² × 1481¹

Step-2: Prime Factorization of 26667

Prime factors of 26667 are 3, 2963. Prime factorization of 26667 in exponential form is:

26667 = 3² × 2963¹

Step-3: Factors of 26658

List of positive integer factors of 26658 that divides 26658 without a remainder.

1, 2, 3, 6, 9, 18, 1481, 2962, 4443, 8886, 13329

Step-4: Factors of 26667

List of positive integer factors of 26667 that divides 26658 without a remainder.

1, 3, 9, 2963, 8889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26658 and 26667. The biggest common factor number is the GCF number.
So the greatest common factor 26658 and 26667 is 9.

Also check out the Least Common Multiple of 26658 and 26667