What is the Greatest Common Factor of 26622 and 26628?

Greatest common factor (GCF) of 26622 and 26628 is 6.

GCF(26622,26628) = 6

We will now calculate the prime factors of 26622 and 26628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26622 and 26628.

How to find the GCF of 26622 and 26628?

We will first find the prime factorization of 26622 and 26628. After we will calculate the factors of 26622 and 26628 and find the biggest common factor number .

Step-1: Prime Factorization of 26622

Prime factors of 26622 are 2, 3, 17, 29. Prime factorization of 26622 in exponential form is:

26622 = 2¹ × 3³ × 17¹ × 29¹

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 26622

List of positive integer factors of 26622 that divides 26622 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 29, 34, 51, 54, 58, 87, 102, 153, 174, 261, 306, 459, 493, 522, 783, 918, 986, 1479, 1566, 2958, 4437, 8874, 13311

Step-4: Factors of 26628

List of positive integer factors of 26628 that divides 26622 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 26622 and 26628. The biggest common factor number is the GCF number.
So the greatest common factor 26622 and 26628 is 6.

Also check out the Least Common Multiple of 26622 and 26628