What is the Greatest Common Factor of 69891 and 69909?

Greatest common factor (GCF) of 69891 and 69909 is 3.

GCF(69891,69909) = 3

We will now calculate the prime factors of 69891 and 69909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69891 and 69909.

How to find the GCF of 69891 and 69909?

We will first find the prime factorization of 69891 and 69909. After we will calculate the factors of 69891 and 69909 and find the biggest common factor number .

Step-1: Prime Factorization of 69891

Prime factors of 69891 are 3, 23297. Prime factorization of 69891 in exponential form is:

69891 = 3¹ × 23297¹

Step-2: Prime Factorization of 69909

Prime factors of 69909 are 3, 7, 3329. Prime factorization of 69909 in exponential form is:

69909 = 3¹ × 7¹ × 3329¹

Step-3: Factors of 69891

List of positive integer factors of 69891 that divides 69891 without a remainder.

1, 3, 23297

Step-4: Factors of 69909

List of positive integer factors of 69909 that divides 69891 without a remainder.

1, 3, 7, 21, 3329, 9987, 23303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69891 and 69909. The biggest common factor number is the GCF number.
So the greatest common factor 69891 and 69909 is 3.

Also check out the Least Common Multiple of 69891 and 69909