What is the Greatest Common Factor of 67875 and 67885?

Greatest common factor (GCF) of 67875 and 67885 is 5.

GCF(67875,67885) = 5

We will now calculate the prime factors of 67875 and 67885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67875 and 67885.

How to find the GCF of 67875 and 67885?

We will first find the prime factorization of 67875 and 67885. After we will calculate the factors of 67875 and 67885 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 67885

Prime factors of 67885 are 5, 13577. Prime factorization of 67885 in exponential form is:

67885 = 5¹ × 13577¹

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 67885

List of positive integer factors of 67885 that divides 67875 without a remainder.

1, 5, 13577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67875 and 67885. The biggest common factor number is the GCF number.
So the greatest common factor 67875 and 67885 is 5.

Also check out the Least Common Multiple of 67875 and 67885