What is the Greatest Common Factor of 33843 and 33848?

Greatest common factor (GCF) of 33843 and 33848 is 1.

GCF(33843,33848) = 1

We will now calculate the prime factors of 33843 and 33848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33843 and 33848.

How to find the GCF of 33843 and 33848?

We will first find the prime factorization of 33843 and 33848. After we will calculate the factors of 33843 and 33848 and find the biggest common factor number .

Step-1: Prime Factorization of 33843

Prime factors of 33843 are 3, 29, 389. Prime factorization of 33843 in exponential form is:

33843 = 3¹ × 29¹ × 389¹

Step-2: Prime Factorization of 33848

Prime factors of 33848 are 2, 4231. Prime factorization of 33848 in exponential form is:

33848 = 2³ × 4231¹

Step-3: Factors of 33843

List of positive integer factors of 33843 that divides 33843 without a remainder.

1, 3, 29, 87, 389, 1167, 11281

Step-4: Factors of 33848

List of positive integer factors of 33848 that divides 33843 without a remainder.

1, 2, 4, 8, 4231, 8462, 16924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33843 and 33848. The biggest common factor number is the GCF number.
So the greatest common factor 33843 and 33848 is 1.

Also check out the Least Common Multiple of 33843 and 33848