What is the Greatest Common Factor of 67382 and 67396?

Greatest common factor (GCF) of 67382 and 67396 is 14.

GCF(67382,67396) = 14

We will now calculate the prime factors of 67382 and 67396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67382 and 67396.

How to find the GCF of 67382 and 67396?

We will first find the prime factorization of 67382 and 67396. After we will calculate the factors of 67382 and 67396 and find the biggest common factor number .

Step-1: Prime Factorization of 67382

Prime factors of 67382 are 2, 7, 4813. Prime factorization of 67382 in exponential form is:

67382 = 2¹ × 7¹ × 4813¹

Step-2: Prime Factorization of 67396

Prime factors of 67396 are 2, 7, 29, 83. Prime factorization of 67396 in exponential form is:

67396 = 2² × 7¹ × 29¹ × 83¹

Step-3: Factors of 67382

List of positive integer factors of 67382 that divides 67382 without a remainder.

1, 2, 7, 14, 4813, 9626, 33691

Step-4: Factors of 67396

List of positive integer factors of 67396 that divides 67382 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 83, 116, 166, 203, 332, 406, 581, 812, 1162, 2324, 2407, 4814, 9628, 16849, 33698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67382 and 67396. The biggest common factor number is the GCF number.
So the greatest common factor 67382 and 67396 is 14.

Also check out the Least Common Multiple of 67382 and 67396