What is the Greatest Common Factor of 33890 and 33900?

Greatest common factor (GCF) of 33890 and 33900 is 10.

GCF(33890,33900) = 10

We will now calculate the prime factors of 33890 and 33900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33890 and 33900.

How to find the GCF of 33890 and 33900?

We will first find the prime factorization of 33890 and 33900. After we will calculate the factors of 33890 and 33900 and find the biggest common factor number .

Step-1: Prime Factorization of 33890

Prime factors of 33890 are 2, 5, 3389. Prime factorization of 33890 in exponential form is:

33890 = 2¹ × 5¹ × 3389¹

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 33890

List of positive integer factors of 33890 that divides 33890 without a remainder.

1, 2, 5, 10, 3389, 6778, 16945

Step-4: Factors of 33900

List of positive integer factors of 33900 that divides 33890 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 33890 and 33900. The biggest common factor number is the GCF number.
So the greatest common factor 33890 and 33900 is 10.

Also check out the Least Common Multiple of 33890 and 33900