What is the Greatest Common Factor of 34866 and 34875?

Greatest common factor (GCF) of 34866 and 34875 is 9.

GCF(34866,34875) = 9

We will now calculate the prime factors of 34866 and 34875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34866 and 34875.

How to find the GCF of 34866 and 34875?

We will first find the prime factorization of 34866 and 34875. After we will calculate the factors of 34866 and 34875 and find the biggest common factor number .

Step-1: Prime Factorization of 34866

Prime factors of 34866 are 2, 3, 13, 149. Prime factorization of 34866 in exponential form is:

34866 = 2¹ × 3² × 13¹ × 149¹

Step-2: 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-3: Factors of 34866

List of positive integer factors of 34866 that divides 34866 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 149, 234, 298, 447, 894, 1341, 1937, 2682, 3874, 5811, 11622, 17433

Step-4: Factors of 34875

List of positive integer factors of 34875 that divides 34866 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34866 and 34875. The biggest common factor number is the GCF number.
So the greatest common factor 34866 and 34875 is 9.

Also check out the Least Common Multiple of 34866 and 34875