What is the Greatest Common Factor of 68384 and 68404?

Greatest common factor (GCF) of 68384 and 68404 is 4.

GCF(68384,68404) = 4

We will now calculate the prime factors of 68384 and 68404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68384 and 68404.

How to find the GCF of 68384 and 68404?

We will first find the prime factorization of 68384 and 68404. After we will calculate the factors of 68384 and 68404 and find the biggest common factor number .

Step-1: Prime Factorization of 68384

Prime factors of 68384 are 2, 2137. Prime factorization of 68384 in exponential form is:

68384 = 2⁵ × 2137¹

Step-2: Prime Factorization of 68404

Prime factors of 68404 are 2, 7, 349. Prime factorization of 68404 in exponential form is:

68404 = 2² × 7² × 349¹

Step-3: Factors of 68384

List of positive integer factors of 68384 that divides 68384 without a remainder.

1, 2, 4, 8, 16, 32, 2137, 4274, 8548, 17096, 34192

Step-4: Factors of 68404

List of positive integer factors of 68404 that divides 68384 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 349, 698, 1396, 2443, 4886, 9772, 17101, 34202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68384 and 68404. The biggest common factor number is the GCF number.
So the greatest common factor 68384 and 68404 is 4.

Also check out the Least Common Multiple of 68384 and 68404