What is the Greatest Common Factor of 67361 and 67375?

Greatest common factor (GCF) of 67361 and 67375 is 7.

GCF(67361,67375) = 7

We will now calculate the prime factors of 67361 and 67375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67361 and 67375.

How to find the GCF of 67361 and 67375?

We will first find the prime factorization of 67361 and 67375. After we will calculate the factors of 67361 and 67375 and find the biggest common factor number .

Step-1: Prime Factorization of 67361

Prime factors of 67361 are 7, 9623. Prime factorization of 67361 in exponential form is:

67361 = 7¹ × 9623¹

Step-2: 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-3: Factors of 67361

List of positive integer factors of 67361 that divides 67361 without a remainder.

1, 7, 9623

Step-4: Factors of 67375

List of positive integer factors of 67375 that divides 67361 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67361 and 67375. The biggest common factor number is the GCF number.
So the greatest common factor 67361 and 67375 is 7.

Also check out the Least Common Multiple of 67361 and 67375