What is the Greatest Common Factor of 67375 and 67382?

Greatest common factor (GCF) of 67375 and 67382 is 7.

GCF(67375,67382) = 7

We will now calculate the prime factors of 67375 and 67382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67375 and 67382.

How to find the GCF of 67375 and 67382?

We will first find the prime factorization of 67375 and 67382. After we will calculate the factors of 67375 and 67382 and find the biggest common factor number .

Step-1: Prime Factorization of 67375

Prime factors of 67375 are 5, 7, 11. Prime factorization of 67375 in exponential form is:

67375 = 5³ × 7² × 11¹

Step-2: 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-3: Factors of 67375

List of positive integer factors of 67375 that divides 67375 without a remainder.

1, 5, 7, 11, 25, 35, 49, 55, 77, 125, 175, 245, 275, 385, 539, 875, 1225, 1375, 1925, 2695, 6125, 9625, 13475

Step-4: Factors of 67382

List of positive integer factors of 67382 that divides 67375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67375 and 67382. The biggest common factor number is the GCF number.
So the greatest common factor 67375 and 67382 is 7.

Also check out the Least Common Multiple of 67375 and 67382