What is the Greatest Common Factor of 26655 and 26667?

Greatest common factor (GCF) of 26655 and 26667 is 3.

GCF(26655,26667) = 3

We will now calculate the prime factors of 26655 and 26667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26655 and 26667.

How to find the GCF of 26655 and 26667?

We will first find the prime factorization of 26655 and 26667. After we will calculate the factors of 26655 and 26667 and find the biggest common factor number .

Step-1: Prime Factorization of 26655

Prime factors of 26655 are 3, 5, 1777. Prime factorization of 26655 in exponential form is:

26655 = 3¹ × 5¹ × 1777¹

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 26655

List of positive integer factors of 26655 that divides 26655 without a remainder.

1, 3, 5, 15, 1777, 5331, 8885

Step-4: Factors of 26667

List of positive integer factors of 26667 that divides 26655 without a remainder.

1, 3, 9, 2963, 8889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26655 and 26667. The biggest common factor number is the GCF number.
So the greatest common factor 26655 and 26667 is 3.

Also check out the Least Common Multiple of 26655 and 26667