What is the Greatest Common Factor of 26758 and 26775?

Greatest common factor (GCF) of 26758 and 26775 is 17.

GCF(26758,26775) = 17

We will now calculate the prime factors of 26758 and 26775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26758 and 26775.

How to find the GCF of 26758 and 26775?

We will first find the prime factorization of 26758 and 26775. After we will calculate the factors of 26758 and 26775 and find the biggest common factor number .

Step-1: Prime Factorization of 26758

Prime factors of 26758 are 2, 17, 787. Prime factorization of 26758 in exponential form is:

26758 = 2¹ × 17¹ × 787¹

Step-2: 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-3: Factors of 26758

List of positive integer factors of 26758 that divides 26758 without a remainder.

1, 2, 17, 34, 787, 1574, 13379

Step-4: Factors of 26775

List of positive integer factors of 26775 that divides 26758 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26758 and 26775. The biggest common factor number is the GCF number.
So the greatest common factor 26758 and 26775 is 17.

Also check out the Least Common Multiple of 26758 and 26775