What is the Greatest Common Factor of 69183 and 69189?

Greatest common factor (GCF) of 69183 and 69189 is 3.

GCF(69183,69189) = 3

We will now calculate the prime factors of 69183 and 69189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69183 and 69189.

How to find the GCF of 69183 and 69189?

We will first find the prime factorization of 69183 and 69189. After we will calculate the factors of 69183 and 69189 and find the biggest common factor number .

Step-1: Prime Factorization of 69183

Prime factors of 69183 are 3, 7687. Prime factorization of 69183 in exponential form is:

69183 = 3² × 7687¹

Step-2: Prime Factorization of 69189

Prime factors of 69189 are 3, 23063. Prime factorization of 69189 in exponential form is:

69189 = 3¹ × 23063¹

Step-3: Factors of 69183

List of positive integer factors of 69183 that divides 69183 without a remainder.

1, 3, 9, 7687, 23061

Step-4: Factors of 69189

List of positive integer factors of 69189 that divides 69183 without a remainder.

1, 3, 23063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69183 and 69189. The biggest common factor number is the GCF number.
So the greatest common factor 69183 and 69189 is 3.

Also check out the Least Common Multiple of 69183 and 69189