What is the Greatest Common Factor of 33915 and 33929?

Greatest common factor (GCF) of 33915 and 33929 is 7.

GCF(33915,33929) = 7

We will now calculate the prime factors of 33915 and 33929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33915 and 33929.

How to find the GCF of 33915 and 33929?

We will first find the prime factorization of 33915 and 33929. After we will calculate the factors of 33915 and 33929 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 33929

Prime factors of 33929 are 7, 37, 131. Prime factorization of 33929 in exponential form is:

33929 = 7¹ × 37¹ × 131¹

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 33929

List of positive integer factors of 33929 that divides 33915 without a remainder.

1, 7, 37, 131, 259, 917, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33915 and 33929. The biggest common factor number is the GCF number.
So the greatest common factor 33915 and 33929 is 7.

Also check out the Least Common Multiple of 33915 and 33929