What is the Greatest Common Factor of 33867 and 33876?

Greatest common factor (GCF) of 33867 and 33876 is 9.

GCF(33867,33876) = 9

We will now calculate the prime factors of 33867 and 33876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33867 and 33876.

How to find the GCF of 33867 and 33876?

We will first find the prime factorization of 33867 and 33876. After we will calculate the factors of 33867 and 33876 and find the biggest common factor number .

Step-1: Prime Factorization of 33867

Prime factors of 33867 are 3, 53, 71. Prime factorization of 33867 in exponential form is:

33867 = 3² × 53¹ × 71¹

Step-2: Prime Factorization of 33876

Prime factors of 33876 are 2, 3, 941. Prime factorization of 33876 in exponential form is:

33876 = 2² × 3² × 941¹

Step-3: Factors of 33867

List of positive integer factors of 33867 that divides 33867 without a remainder.

1, 3, 9, 53, 71, 159, 213, 477, 639, 3763, 11289

Step-4: Factors of 33876

List of positive integer factors of 33876 that divides 33867 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 941, 1882, 2823, 3764, 5646, 8469, 11292, 16938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33867 and 33876. The biggest common factor number is the GCF number.
So the greatest common factor 33867 and 33876 is 9.

Also check out the Least Common Multiple of 33867 and 33876