What is the Greatest Common Factor of 33821 and 33829?

Greatest common factor (GCF) of 33821 and 33829 is 1.

GCF(33821,33829) = 1

We will now calculate the prime factors of 33821 and 33829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33821 and 33829.

How to find the GCF of 33821 and 33829?

We will first find the prime factorization of 33821 and 33829. After we will calculate the factors of 33821 and 33829 and find the biggest common factor number .

Step-1: Prime Factorization of 33821

Prime factors of 33821 are 31, 1091. Prime factorization of 33821 in exponential form is:

33821 = 31¹ × 1091¹

Step-2: Prime Factorization of 33829

Prime factors of 33829 are 33829. Prime factorization of 33829 in exponential form is:

33829 = 33829¹

Step-3: Factors of 33821

List of positive integer factors of 33821 that divides 33821 without a remainder.

1, 31, 1091

Step-4: Factors of 33829

List of positive integer factors of 33829 that divides 33821 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33821 and 33829. The biggest common factor number is the GCF number.
So the greatest common factor 33821 and 33829 is 1.

Also check out the Least Common Multiple of 33821 and 33829