What is the Greatest Common Factor of 33895 and 33900?

Greatest common factor (GCF) of 33895 and 33900 is 5.

GCF(33895,33900) = 5

We will now calculate the prime factors of 33895 and 33900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33895 and 33900.

How to find the GCF of 33895 and 33900?

We will first find the prime factorization of 33895 and 33900. After we will calculate the factors of 33895 and 33900 and find the biggest common factor number .

Step-1: Prime Factorization of 33895

Prime factors of 33895 are 5, 6779. Prime factorization of 33895 in exponential form is:

33895 = 5¹ × 6779¹

Step-2: 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-3: Factors of 33895

List of positive integer factors of 33895 that divides 33895 without a remainder.

1, 5, 6779

Step-4: Factors of 33900

List of positive integer factors of 33900 that divides 33895 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33895 and 33900. The biggest common factor number is the GCF number.
So the greatest common factor 33895 and 33900 is 5.

Also check out the Least Common Multiple of 33895 and 33900