What is the Greatest Common Factor of 33858 and 33867?

Greatest common factor (GCF) of 33858 and 33867 is 9.

GCF(33858,33867) = 9

We will now calculate the prime factors of 33858 and 33867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33858 and 33867.

How to find the GCF of 33858 and 33867?

We will first find the prime factorization of 33858 and 33867. After we will calculate the factors of 33858 and 33867 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 33867

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

33867 = 3² × 53¹ × 71¹

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 33867

List of positive integer factors of 33867 that divides 33858 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33858 and 33867. The biggest common factor number is the GCF number.
So the greatest common factor 33858 and 33867 is 9.

Also check out the Least Common Multiple of 33858 and 33867