What is the Greatest Common Factor of 66900 and 66909?

Greatest common factor (GCF) of 66900 and 66909 is 3.

GCF(66900,66909) = 3

We will now calculate the prime factors of 66900 and 66909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66900 and 66909.

How to find the GCF of 66900 and 66909?

We will first find the prime factorization of 66900 and 66909. After we will calculate the factors of 66900 and 66909 and find the biggest common factor number .

Step-1: Prime Factorization of 66900

Prime factors of 66900 are 2, 3, 5, 223. Prime factorization of 66900 in exponential form is:

66900 = 2² × 3¹ × 5² × 223¹

Step-2: Prime Factorization of 66909

Prime factors of 66909 are 3, 22303. Prime factorization of 66909 in exponential form is:

66909 = 3¹ × 22303¹

Step-3: Factors of 66900

List of positive integer factors of 66900 that divides 66900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 223, 300, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 5575, 6690, 11150, 13380, 16725, 22300, 33450

Step-4: Factors of 66909

List of positive integer factors of 66909 that divides 66900 without a remainder.

1, 3, 22303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66900 and 66909. The biggest common factor number is the GCF number.
So the greatest common factor 66900 and 66909 is 3.

Also check out the Least Common Multiple of 66900 and 66909