What is the Greatest Common Factor of 68382 and 68393?

Greatest common factor (GCF) of 68382 and 68393 is 1.

GCF(68382,68393) = 1

We will now calculate the prime factors of 68382 and 68393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68382 and 68393.

How to find the GCF of 68382 and 68393?

We will first find the prime factorization of 68382 and 68393. After we will calculate the factors of 68382 and 68393 and find the biggest common factor number .

Step-1: Prime Factorization of 68382

Prime factors of 68382 are 2, 3, 29, 131. Prime factorization of 68382 in exponential form is:

68382 = 2¹ × 3² × 29¹ × 131¹

Step-2: Prime Factorization of 68393

Prime factors of 68393 are 13, 5261. Prime factorization of 68393 in exponential form is:

68393 = 13¹ × 5261¹

Step-3: Factors of 68382

List of positive integer factors of 68382 that divides 68382 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 131, 174, 261, 262, 393, 522, 786, 1179, 2358, 3799, 7598, 11397, 22794, 34191

Step-4: Factors of 68393

List of positive integer factors of 68393 that divides 68382 without a remainder.

1, 13, 5261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68382 and 68393. The biggest common factor number is the GCF number.
So the greatest common factor 68382 and 68393 is 1.

Also check out the Least Common Multiple of 68382 and 68393