What is the Greatest Common Factor of 33345 and 33360?

Greatest common factor (GCF) of 33345 and 33360 is 15.

GCF(33345,33360) = 15

We will now calculate the prime factors of 33345 and 33360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33345 and 33360.

How to find the GCF of 33345 and 33360?

We will first find the prime factorization of 33345 and 33360. After we will calculate the factors of 33345 and 33360 and find the biggest common factor number .

Step-1: Prime Factorization of 33345

Prime factors of 33345 are 3, 5, 13, 19. Prime factorization of 33345 in exponential form is:

33345 = 3³ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 33360

Prime factors of 33360 are 2, 3, 5, 139. Prime factorization of 33360 in exponential form is:

33360 = 2⁴ × 3¹ × 5¹ × 139¹

Step-3: Factors of 33345

List of positive integer factors of 33345 that divides 33345 without a remainder.

1, 3, 5, 9, 13, 15, 19, 27, 39, 45, 57, 65, 95, 117, 135, 171, 195, 247, 285, 351, 513, 585, 741, 855, 1235, 1755, 2223, 2565, 3705, 6669, 11115

Step-4: Factors of 33360

List of positive integer factors of 33360 that divides 33345 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 139, 240, 278, 417, 556, 695, 834, 1112, 1390, 1668, 2085, 2224, 2780, 3336, 4170, 5560, 6672, 8340, 11120, 16680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33345 and 33360. The biggest common factor number is the GCF number.
So the greatest common factor 33345 and 33360 is 15.

Also check out the Least Common Multiple of 33345 and 33360