What is the Greatest Common Factor of 14760 and 14775?

Greatest common factor (GCF) of 14760 and 14775 is 15.

GCF(14760,14775) = 15

We will now calculate the prime factors of 14760 and 14775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14760 and 14775.

How to find the GCF of 14760 and 14775?

We will first find the prime factorization of 14760 and 14775. After we will calculate the factors of 14760 and 14775 and find the biggest common factor number .

Step-1: Prime Factorization of 14760

Prime factors of 14760 are 2, 3, 5, 41. Prime factorization of 14760 in exponential form is:

14760 = 2³ × 3² × 5¹ × 41¹

Step-2: Prime Factorization of 14775

Prime factors of 14775 are 3, 5, 197. Prime factorization of 14775 in exponential form is:

14775 = 3¹ × 5² × 197¹

Step-3: Factors of 14760

List of positive integer factors of 14760 that divides 14760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 41, 45, 60, 72, 82, 90, 120, 123, 164, 180, 205, 246, 328, 360, 369, 410, 492, 615, 738, 820, 984, 1230, 1476, 1640, 1845, 2460, 2952, 3690, 4920, 7380

Step-4: Factors of 14775

List of positive integer factors of 14775 that divides 14760 without a remainder.

1, 3, 5, 15, 25, 75, 197, 591, 985, 2955, 4925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14760 and 14775. The biggest common factor number is the GCF number.
So the greatest common factor 14760 and 14775 is 15.

Also check out the Least Common Multiple of 14760 and 14775