What is the Greatest Common Factor of 69354 and 69366?

Greatest common factor (GCF) of 69354 and 69366 is 6.

GCF(69354,69366) = 6

We will now calculate the prime factors of 69354 and 69366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69354 and 69366.

How to find the GCF of 69354 and 69366?

We will first find the prime factorization of 69354 and 69366. After we will calculate the factors of 69354 and 69366 and find the biggest common factor number .

Step-1: Prime Factorization of 69354

Prime factors of 69354 are 2, 3, 3853. Prime factorization of 69354 in exponential form is:

69354 = 2¹ × 3² × 3853¹

Step-2: Prime Factorization of 69366

Prime factors of 69366 are 2, 3, 11, 1051. Prime factorization of 69366 in exponential form is:

69366 = 2¹ × 3¹ × 11¹ × 1051¹

Step-3: Factors of 69354

List of positive integer factors of 69354 that divides 69354 without a remainder.

1, 2, 3, 6, 9, 18, 3853, 7706, 11559, 23118, 34677

Step-4: Factors of 69366

List of positive integer factors of 69366 that divides 69354 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1051, 2102, 3153, 6306, 11561, 23122, 34683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69354 and 69366. The biggest common factor number is the GCF number.
So the greatest common factor 69354 and 69366 is 6.

Also check out the Least Common Multiple of 69354 and 69366