What is the Greatest Common Factor of 67375 and 67389?

Greatest common factor (GCF) of 67375 and 67389 is 7.

GCF(67375,67389) = 7

We will now calculate the prime factors of 67375 and 67389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67375 and 67389.

How to find the GCF of 67375 and 67389?

We will first find the prime factorization of 67375 and 67389. After we will calculate the factors of 67375 and 67389 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 67389

Prime factors of 67389 are 3, 7, 3209. Prime factorization of 67389 in exponential form is:

67389 = 3¹ × 7¹ × 3209¹

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 67389

List of positive integer factors of 67389 that divides 67375 without a remainder.

1, 3, 7, 21, 3209, 9627, 22463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67375 and 67389. The biggest common factor number is the GCF number.
So the greatest common factor 67375 and 67389 is 7.

Also check out the Least Common Multiple of 67375 and 67389