What is the Greatest Common Factor of 33900 and 33915?

Greatest common factor (GCF) of 33900 and 33915 is 15.

GCF(33900,33915) = 15

We will now calculate the prime factors of 33900 and 33915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33900 and 33915.

How to find the GCF of 33900 and 33915?

We will first find the prime factorization of 33900 and 33915. After we will calculate the factors of 33900 and 33915 and find the biggest common factor number .

Step-1: Prime Factorization of 33900

Prime factors of 33900 are 2, 3, 5, 113. Prime factorization of 33900 in exponential form is:

33900 = 2² × 3¹ × 5² × 113¹

Step-2: 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-3: Factors of 33900

List of positive integer factors of 33900 that divides 33900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 113, 150, 226, 300, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 2825, 3390, 5650, 6780, 8475, 11300, 16950

Step-4: Factors of 33915

List of positive integer factors of 33915 that divides 33900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33900 and 33915. The biggest common factor number is the GCF number.
So the greatest common factor 33900 and 33915 is 15.

Also check out the Least Common Multiple of 33900 and 33915