What is the Greatest Common Factor of 33915 and 33930?

Greatest common factor (GCF) of 33915 and 33930 is 15.

GCF(33915,33930) = 15

We will now calculate the prime factors of 33915 and 33930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33915 and 33930.

How to find the GCF of 33915 and 33930?

We will first find the prime factorization of 33915 and 33930. After we will calculate the factors of 33915 and 33930 and find the biggest common factor number .

Step-1: Prime Factorization of 33915

Prime factors of 33915 are 3, 5, 7, 17, 19. Prime factorization of 33915 in exponential form is:

33915 = 3¹ × 5¹ × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 33930

Prime factors of 33930 are 2, 3, 5, 13, 29. Prime factorization of 33930 in exponential form is:

33930 = 2¹ × 3² × 5¹ × 13¹ × 29¹

Step-3: Factors of 33915

List of positive integer factors of 33915 that divides 33915 without a remainder.

1, 3, 5, 7, 15, 17, 19, 21, 35, 51, 57, 85, 95, 105, 119, 133, 255, 285, 323, 357, 399, 595, 665, 969, 1615, 1785, 1995, 2261, 4845, 6783, 11305

Step-4: Factors of 33930

List of positive integer factors of 33930 that divides 33915 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 29, 30, 39, 45, 58, 65, 78, 87, 90, 117, 130, 145, 174, 195, 234, 261, 290, 377, 390, 435, 522, 585, 754, 870, 1131, 1170, 1305, 1885, 2262, 2610, 3393, 3770, 5655, 6786, 11310, 16965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33915 and 33930. The biggest common factor number is the GCF number.
So the greatest common factor 33915 and 33930 is 15.

Also check out the Least Common Multiple of 33915 and 33930