What is the Greatest Common Factor of 26775 and 26789?

Greatest common factor (GCF) of 26775 and 26789 is 7.

GCF(26775,26789) = 7

We will now calculate the prime factors of 26775 and 26789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26775 and 26789.

How to find the GCF of 26775 and 26789?

We will first find the prime factorization of 26775 and 26789. After we will calculate the factors of 26775 and 26789 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 26789

Prime factors of 26789 are 7, 43, 89. Prime factorization of 26789 in exponential form is:

26789 = 7¹ × 43¹ × 89¹

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 26789

List of positive integer factors of 26789 that divides 26775 without a remainder.

1, 7, 43, 89, 301, 623, 3827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26775 and 26789. The biggest common factor number is the GCF number.
So the greatest common factor 26775 and 26789 is 7.

Also check out the Least Common Multiple of 26775 and 26789