What is the Greatest Common Factor of 33858 and 33865?

Greatest common factor (GCF) of 33858 and 33865 is 1.

GCF(33858,33865) = 1

We will now calculate the prime factors of 33858 and 33865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33858 and 33865.

How to find the GCF of 33858 and 33865?

We will first find the prime factorization of 33858 and 33865. After we will calculate the factors of 33858 and 33865 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 33865

Prime factors of 33865 are 5, 13, 521. Prime factorization of 33865 in exponential form is:

33865 = 5¹ × 13¹ × 521¹

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 33865

List of positive integer factors of 33865 that divides 33858 without a remainder.

1, 5, 13, 65, 521, 2605, 6773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33858 and 33865. The biggest common factor number is the GCF number.
So the greatest common factor 33858 and 33865 is 1.

Also check out the Least Common Multiple of 33858 and 33865