What is the Greatest Common Factor of 33823 and 33839?

Greatest common factor (GCF) of 33823 and 33839 is 1.

GCF(33823,33839) = 1

We will now calculate the prime factors of 33823 and 33839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33823 and 33839.

How to find the GCF of 33823 and 33839?

We will first find the prime factorization of 33823 and 33839. After we will calculate the factors of 33823 and 33839 and find the biggest common factor number .

Step-1: Prime Factorization of 33823

Prime factors of 33823 are 149, 227. Prime factorization of 33823 in exponential form is:

33823 = 149¹ × 227¹

Step-2: Prime Factorization of 33839

Prime factors of 33839 are 13, 19, 137. Prime factorization of 33839 in exponential form is:

33839 = 13¹ × 19¹ × 137¹

Step-3: Factors of 33823

List of positive integer factors of 33823 that divides 33823 without a remainder.

1, 149, 227

Step-4: Factors of 33839

List of positive integer factors of 33839 that divides 33823 without a remainder.

1, 13, 19, 137, 247, 1781, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33823 and 33839. The biggest common factor number is the GCF number.
So the greatest common factor 33823 and 33839 is 1.

Also check out the Least Common Multiple of 33823 and 33839