What is the Greatest Common Factor of 33858 and 33869?

Greatest common factor (GCF) of 33858 and 33869 is 11.

GCF(33858,33869) = 11

We will now calculate the prime factors of 33858 and 33869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33858 and 33869.

How to find the GCF of 33858 and 33869?

We will first find the prime factorization of 33858 and 33869. After we will calculate the factors of 33858 and 33869 and find the biggest common factor number .

Step-1: Prime Factorization of 33858

Prime factors of 33858 are 2, 3, 11, 19. Prime factorization of 33858 in exponential form is:

33858 = 2¹ × 3⁴ × 11¹ × 19¹

Step-2: Prime Factorization of 33869

Prime factors of 33869 are 11, 3079. Prime factorization of 33869 in exponential form is:

33869 = 11¹ × 3079¹

Step-3: Factors of 33858

List of positive integer factors of 33858 that divides 33858 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 81, 99, 114, 162, 171, 198, 209, 297, 342, 418, 513, 594, 627, 891, 1026, 1254, 1539, 1782, 1881, 3078, 3762, 5643, 11286, 16929

Step-4: Factors of 33869

List of positive integer factors of 33869 that divides 33858 without a remainder.

1, 11, 3079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33858 and 33869. The biggest common factor number is the GCF number.
So the greatest common factor 33858 and 33869 is 11.

Also check out the Least Common Multiple of 33858 and 33869