What is the Greatest Common Factor of 26775 and 26792?

Greatest common factor (GCF) of 26775 and 26792 is 17.

GCF(26775,26792) = 17

We will now calculate the prime factors of 26775 and 26792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26775 and 26792.

How to find the GCF of 26775 and 26792?

We will first find the prime factorization of 26775 and 26792. After we will calculate the factors of 26775 and 26792 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 26792

Prime factors of 26792 are 2, 17, 197. Prime factorization of 26792 in exponential form is:

26792 = 2³ × 17¹ × 197¹

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 26792

List of positive integer factors of 26792 that divides 26775 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 197, 394, 788, 1576, 3349, 6698, 13396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26775 and 26792. The biggest common factor number is the GCF number.
So the greatest common factor 26775 and 26792 is 17.

Also check out the Least Common Multiple of 26775 and 26792