What is the Greatest Common Factor of 34875 and 34885?

Greatest common factor (GCF) of 34875 and 34885 is 5.

GCF(34875,34885) = 5

We will now calculate the prime factors of 34875 and 34885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34875 and 34885.

How to find the GCF of 34875 and 34885?

We will first find the prime factorization of 34875 and 34885. After we will calculate the factors of 34875 and 34885 and find the biggest common factor number .

Step-1: Prime Factorization of 34875

Prime factors of 34875 are 3, 5, 31. Prime factorization of 34875 in exponential form is:

34875 = 3² × 5³ × 31¹

Step-2: Prime Factorization of 34885

Prime factors of 34885 are 5, 6977. Prime factorization of 34885 in exponential form is:

34885 = 5¹ × 6977¹

Step-3: Factors of 34875

List of positive integer factors of 34875 that divides 34875 without a remainder.

1, 3, 5, 9, 15, 25, 31, 45, 75, 93, 125, 155, 225, 279, 375, 465, 775, 1125, 1395, 2325, 3875, 6975, 11625

Step-4: Factors of 34885

List of positive integer factors of 34885 that divides 34875 without a remainder.

1, 5, 6977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34875 and 34885. The biggest common factor number is the GCF number.
So the greatest common factor 34875 and 34885 is 5.

Also check out the Least Common Multiple of 34875 and 34885