What is the Greatest Common Factor of 68398 and 68416?

Greatest common factor (GCF) of 68398 and 68416 is 2.

GCF(68398,68416) = 2

We will now calculate the prime factors of 68398 and 68416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68398 and 68416.

How to find the GCF of 68398 and 68416?

We will first find the prime factorization of 68398 and 68416. After we will calculate the factors of 68398 and 68416 and find the biggest common factor number .

Step-1: Prime Factorization of 68398

Prime factors of 68398 are 2, 11, 3109. Prime factorization of 68398 in exponential form is:

68398 = 2¹ × 11¹ × 3109¹

Step-2: Prime Factorization of 68416

Prime factors of 68416 are 2, 1069. Prime factorization of 68416 in exponential form is:

68416 = 2⁶ × 1069¹

Step-3: Factors of 68398

List of positive integer factors of 68398 that divides 68398 without a remainder.

1, 2, 11, 22, 3109, 6218, 34199

Step-4: Factors of 68416

List of positive integer factors of 68416 that divides 68398 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1069, 2138, 4276, 8552, 17104, 34208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68398 and 68416. The biggest common factor number is the GCF number.
So the greatest common factor 68398 and 68416 is 2.

Also check out the Least Common Multiple of 68398 and 68416