What is the Greatest Common Factor of 33816 and 33823?

Greatest common factor (GCF) of 33816 and 33823 is 1.

GCF(33816,33823) = 1

We will now calculate the prime factors of 33816 and 33823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33816 and 33823.

How to find the GCF of 33816 and 33823?

We will first find the prime factorization of 33816 and 33823. After we will calculate the factors of 33816 and 33823 and find the biggest common factor number .

Step-1: Prime Factorization of 33816

Prime factors of 33816 are 2, 3, 1409. Prime factorization of 33816 in exponential form is:

33816 = 2³ × 3¹ × 1409¹

Step-2: Prime Factorization of 33823

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

33823 = 149¹ × 227¹

Step-3: Factors of 33816

List of positive integer factors of 33816 that divides 33816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1409, 2818, 4227, 5636, 8454, 11272, 16908

Step-4: Factors of 33823

List of positive integer factors of 33823 that divides 33816 without a remainder.

1, 149, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33816 and 33823. The biggest common factor number is the GCF number.
So the greatest common factor 33816 and 33823 is 1.

Also check out the Least Common Multiple of 33816 and 33823