What is the Greatest Common Factor of 67875 and 67895?

Greatest common factor (GCF) of 67875 and 67895 is 5.

GCF(67875,67895) = 5

We will now calculate the prime factors of 67875 and 67895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67875 and 67895.

How to find the GCF of 67875 and 67895?

We will first find the prime factorization of 67875 and 67895. After we will calculate the factors of 67875 and 67895 and find the biggest common factor number .

Step-1: Prime Factorization of 67875

Prime factors of 67875 are 3, 5, 181. Prime factorization of 67875 in exponential form is:

67875 = 3¹ × 5³ × 181¹

Step-2: Prime Factorization of 67895

Prime factors of 67895 are 5, 37, 367. Prime factorization of 67895 in exponential form is:

67895 = 5¹ × 37¹ × 367¹

Step-3: Factors of 67875

List of positive integer factors of 67875 that divides 67875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 181, 375, 543, 905, 2715, 4525, 13575, 22625

Step-4: Factors of 67895

List of positive integer factors of 67895 that divides 67875 without a remainder.

1, 5, 37, 185, 367, 1835, 13579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67875 and 67895. The biggest common factor number is the GCF number.
So the greatest common factor 67875 and 67895 is 5.

Also check out the Least Common Multiple of 67875 and 67895