What is the Greatest Common Factor of 69354 and 69368?

Greatest common factor (GCF) of 69354 and 69368 is 2.

GCF(69354,69368) = 2

We will now calculate the prime factors of 69354 and 69368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69354 and 69368.

How to find the GCF of 69354 and 69368?

We will first find the prime factorization of 69354 and 69368. After we will calculate the factors of 69354 and 69368 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 69368

Prime factors of 69368 are 2, 13, 23, 29. Prime factorization of 69368 in exponential form is:

69368 = 2³ × 13¹ × 23¹ × 29¹

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 69368

List of positive integer factors of 69368 that divides 69354 without a remainder.

1, 2, 4, 8, 13, 23, 26, 29, 46, 52, 58, 92, 104, 116, 184, 232, 299, 377, 598, 667, 754, 1196, 1334, 1508, 2392, 2668, 3016, 5336, 8671, 17342, 34684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69354 and 69368. The biggest common factor number is the GCF number.
So the greatest common factor 69354 and 69368 is 2.

Also check out the Least Common Multiple of 69354 and 69368