What is the Greatest Common Factor of 2133 and 2145?

Greatest common factor (GCF) of 2133 and 2145 is 3.

GCF(2133,2145) = 3

We will now calculate the prime factors of 2133 and 2145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2133 and 2145.

How to find the GCF of 2133 and 2145?

We will first find the prime factorization of 2133 and 2145. After we will calculate the factors of 2133 and 2145 and find the biggest common factor number .

Step-1: Prime Factorization of 2133

Prime factors of 2133 are 3, 79. Prime factorization of 2133 in exponential form is:

2133 = 3³ × 79¹

Step-2: Prime Factorization of 2145

Prime factors of 2145 are 3, 5, 11, 13. Prime factorization of 2145 in exponential form is:

2145 = 3¹ × 5¹ × 11¹ × 13¹

Step-3: Factors of 2133

List of positive integer factors of 2133 that divides 2133 without a remainder.

1, 3, 9, 27, 79, 237, 711

Step-4: Factors of 2145

List of positive integer factors of 2145 that divides 2133 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2133 and 2145. The biggest common factor number is the GCF number.
So the greatest common factor 2133 and 2145 is 3.

Also check out the Least Common Multiple of 2133 and 2145