What is the Greatest Common Factor of 44823 and 44829?

Greatest common factor (GCF) of 44823 and 44829 is 3.

GCF(44823,44829) = 3

We will now calculate the prime factors of 44823 and 44829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44823 and 44829.

How to find the GCF of 44823 and 44829?

We will first find the prime factorization of 44823 and 44829. After we will calculate the factors of 44823 and 44829 and find the biggest common factor number .

Step-1: Prime Factorization of 44823

Prime factors of 44823 are 3, 67, 223. Prime factorization of 44823 in exponential form is:

44823 = 3¹ × 67¹ × 223¹

Step-2: Prime Factorization of 44829

Prime factors of 44829 are 3, 17, 293. Prime factorization of 44829 in exponential form is:

44829 = 3² × 17¹ × 293¹

Step-3: Factors of 44823

List of positive integer factors of 44823 that divides 44823 without a remainder.

1, 3, 67, 201, 223, 669, 14941

Step-4: Factors of 44829

List of positive integer factors of 44829 that divides 44823 without a remainder.

1, 3, 9, 17, 51, 153, 293, 879, 2637, 4981, 14943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44823 and 44829. The biggest common factor number is the GCF number.
So the greatest common factor 44823 and 44829 is 3.

Also check out the Least Common Multiple of 44823 and 44829