What is the Greatest Common Factor of 33915 and 33925?

Greatest common factor (GCF) of 33915 and 33925 is 5.

GCF(33915,33925) = 5

We will now calculate the prime factors of 33915 and 33925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33915 and 33925.

How to find the GCF of 33915 and 33925?

We will first find the prime factorization of 33915 and 33925. After we will calculate the factors of 33915 and 33925 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 33925

Prime factors of 33925 are 5, 23, 59. Prime factorization of 33925 in exponential form is:

33925 = 5² × 23¹ × 59¹

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 33925

List of positive integer factors of 33925 that divides 33915 without a remainder.

1, 5, 23, 25, 59, 115, 295, 575, 1357, 1475, 6785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33915 and 33925. The biggest common factor number is the GCF number.
So the greatest common factor 33915 and 33925 is 5.

Also check out the Least Common Multiple of 33915 and 33925