What is the Greatest Common Factor of 33905 and 33915?

Greatest common factor (GCF) of 33905 and 33915 is 5.

GCF(33905,33915) = 5

We will now calculate the prime factors of 33905 and 33915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33905 and 33915.

How to find the GCF of 33905 and 33915?

We will first find the prime factorization of 33905 and 33915. After we will calculate the factors of 33905 and 33915 and find the biggest common factor number .

Step-1: Prime Factorization of 33905

Prime factors of 33905 are 5, 6781. Prime factorization of 33905 in exponential form is:

33905 = 5¹ × 6781¹

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 33905

List of positive integer factors of 33905 that divides 33905 without a remainder.

1, 5, 6781

Step-4: Factors of 33915

List of positive integer factors of 33915 that divides 33905 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 33905 and 33915. The biggest common factor number is the GCF number.
So the greatest common factor 33905 and 33915 is 5.

Also check out the Least Common Multiple of 33905 and 33915