What is the Greatest Common Factor of 26623 and 26628?

Greatest common factor (GCF) of 26623 and 26628 is 1.

GCF(26623,26628) = 1

We will now calculate the prime factors of 26623 and 26628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26623 and 26628.

How to find the GCF of 26623 and 26628?

We will first find the prime factorization of 26623 and 26628. After we will calculate the factors of 26623 and 26628 and find the biggest common factor number .

Step-1: Prime Factorization of 26623

Prime factors of 26623 are 79, 337. Prime factorization of 26623 in exponential form is:

26623 = 79¹ × 337¹

Step-2: 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-3: Factors of 26623

List of positive integer factors of 26623 that divides 26623 without a remainder.

1, 79, 337

Step-4: Factors of 26628

List of positive integer factors of 26628 that divides 26623 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26623 and 26628. The biggest common factor number is the GCF number.
So the greatest common factor 26623 and 26628 is 1.

Also check out the Least Common Multiple of 26623 and 26628