What is the Greatest Common Factor of 26775 and 26781?

Greatest common factor (GCF) of 26775 and 26781 is 3.

GCF(26775,26781) = 3

We will now calculate the prime factors of 26775 and 26781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26775 and 26781.

How to find the GCF of 26775 and 26781?

We will first find the prime factorization of 26775 and 26781. After we will calculate the factors of 26775 and 26781 and find the biggest common factor number .

Step-1: Prime Factorization of 26775

Prime factors of 26775 are 3, 5, 7, 17. Prime factorization of 26775 in exponential form is:

26775 = 3² × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 26781

Prime factors of 26781 are 3, 79, 113. Prime factorization of 26781 in exponential form is:

26781 = 3¹ × 79¹ × 113¹

Step-3: Factors of 26775

List of positive integer factors of 26775 that divides 26775 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 25, 35, 45, 51, 63, 75, 85, 105, 119, 153, 175, 225, 255, 315, 357, 425, 525, 595, 765, 1071, 1275, 1575, 1785, 2975, 3825, 5355, 8925

Step-4: Factors of 26781

List of positive integer factors of 26781 that divides 26775 without a remainder.

1, 3, 79, 113, 237, 339, 8927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26775 and 26781. The biggest common factor number is the GCF number.
So the greatest common factor 26775 and 26781 is 3.

Also check out the Least Common Multiple of 26775 and 26781