What is the Greatest Common Factor of 33900 and 33913?

Greatest common factor (GCF) of 33900 and 33913 is 1.

GCF(33900,33913) = 1

We will now calculate the prime factors of 33900 and 33913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33900 and 33913.

How to find the GCF of 33900 and 33913?

We will first find the prime factorization of 33900 and 33913. After we will calculate the factors of 33900 and 33913 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 33913

Prime factors of 33913 are 11, 3083. Prime factorization of 33913 in exponential form is:

33913 = 11¹ × 3083¹

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 33913

List of positive integer factors of 33913 that divides 33900 without a remainder.

1, 11, 3083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33900 and 33913. The biggest common factor number is the GCF number.
So the greatest common factor 33900 and 33913 is 1.

Also check out the Least Common Multiple of 33900 and 33913