What is the Greatest Common Factor of 68384 and 68388?

Greatest common factor (GCF) of 68384 and 68388 is 4.

GCF(68384,68388) = 4

We will now calculate the prime factors of 68384 and 68388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68384 and 68388.

How to find the GCF of 68384 and 68388?

We will first find the prime factorization of 68384 and 68388. After we will calculate the factors of 68384 and 68388 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 68388

Prime factors of 68388 are 2, 3, 41, 139. Prime factorization of 68388 in exponential form is:

68388 = 2² × 3¹ × 41¹ × 139¹

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 68388

List of positive integer factors of 68388 that divides 68384 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 139, 164, 246, 278, 417, 492, 556, 834, 1668, 5699, 11398, 17097, 22796, 34194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68384 and 68388. The biggest common factor number is the GCF number.
So the greatest common factor 68384 and 68388 is 4.

Also check out the Least Common Multiple of 68384 and 68388