What is the Greatest Common Factor of 26760 and 26775?

Greatest common factor (GCF) of 26760 and 26775 is 15.

GCF(26760,26775) = 15

We will now calculate the prime factors of 26760 and 26775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26760 and 26775.

How to find the GCF of 26760 and 26775?

We will first find the prime factorization of 26760 and 26775. After we will calculate the factors of 26760 and 26775 and find the biggest common factor number .

Step-1: Prime Factorization of 26760

Prime factors of 26760 are 2, 3, 5, 223. Prime factorization of 26760 in exponential form is:

26760 = 2³ × 3¹ × 5¹ × 223¹

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 26760

List of positive integer factors of 26760 that divides 26760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 223, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 4460, 5352, 6690, 8920, 13380

Step-4: Factors of 26775

List of positive integer factors of 26775 that divides 26760 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 26760 and 26775. The biggest common factor number is the GCF number.
So the greatest common factor 26760 and 26775 is 15.

Also check out the Least Common Multiple of 26760 and 26775