What is the Greatest Common Factor of 67875 and 67889?

Greatest common factor (GCF) of 67875 and 67889 is 1.

GCF(67875,67889) = 1

We will now calculate the prime factors of 67875 and 67889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67875 and 67889.

How to find the GCF of 67875 and 67889?

We will first find the prime factorization of 67875 and 67889. After we will calculate the factors of 67875 and 67889 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 67889

Prime factors of 67889 are 29, 2341. Prime factorization of 67889 in exponential form is:

67889 = 29¹ × 2341¹

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 67889

List of positive integer factors of 67889 that divides 67875 without a remainder.

1, 29, 2341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67875 and 67889. The biggest common factor number is the GCF number.
So the greatest common factor 67875 and 67889 is 1.

Also check out the Least Common Multiple of 67875 and 67889