What is the Greatest Common Factor of 26628 and 26647?

Greatest common factor (GCF) of 26628 and 26647 is 1.

GCF(26628,26647) = 1

We will now calculate the prime factors of 26628 and 26647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26628 and 26647.

How to find the GCF of 26628 and 26647?

We will first find the prime factorization of 26628 and 26647. After we will calculate the factors of 26628 and 26647 and find the biggest common factor number .

Step-1: Prime Factorization of 26628

Prime factors of 26628 are 2, 3, 7, 317. Prime factorization of 26628 in exponential form is:

26628 = 2² × 3¹ × 7¹ × 317¹

Step-2: Prime Factorization of 26647

Prime factors of 26647 are 26647. Prime factorization of 26647 in exponential form is:

26647 = 26647¹

Step-3: Factors of 26628

List of positive integer factors of 26628 that divides 26628 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 317, 634, 951, 1268, 1902, 2219, 3804, 4438, 6657, 8876, 13314

Step-4: Factors of 26647

List of positive integer factors of 26647 that divides 26628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26628 and 26647. The biggest common factor number is the GCF number.
So the greatest common factor 26628 and 26647 is 1.

Also check out the Least Common Multiple of 26628 and 26647