What is the Greatest Common Factor of 33915 and 33935?

Greatest common factor (GCF) of 33915 and 33935 is 5.

GCF(33915,33935) = 5

We will now calculate the prime factors of 33915 and 33935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33915 and 33935.

How to find the GCF of 33915 and 33935?

We will first find the prime factorization of 33915 and 33935. After we will calculate the factors of 33915 and 33935 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 33935

Prime factors of 33935 are 5, 11, 617. Prime factorization of 33935 in exponential form is:

33935 = 5¹ × 11¹ × 617¹

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 33935

List of positive integer factors of 33935 that divides 33915 without a remainder.

1, 5, 11, 55, 617, 3085, 6787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33915 and 33935. The biggest common factor number is the GCF number.
So the greatest common factor 33915 and 33935 is 5.

Also check out the Least Common Multiple of 33915 and 33935