What is the Greatest Common Factor of 44829 and 44844?

Greatest common factor (GCF) of 44829 and 44844 is 3.

GCF(44829,44844) = 3

We will now calculate the prime factors of 44829 and 44844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44829 and 44844.

How to find the GCF of 44829 and 44844?

We will first find the prime factorization of 44829 and 44844. After we will calculate the factors of 44829 and 44844 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44844

Prime factors of 44844 are 2, 3, 37, 101. Prime factorization of 44844 in exponential form is:

44844 = 2² × 3¹ × 37¹ × 101¹

Step-3: Factors of 44829

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

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

Step-4: Factors of 44844

List of positive integer factors of 44844 that divides 44829 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 101, 111, 148, 202, 222, 303, 404, 444, 606, 1212, 3737, 7474, 11211, 14948, 22422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44829 and 44844. The biggest common factor number is the GCF number.
So the greatest common factor 44829 and 44844 is 3.

Also check out the Least Common Multiple of 44829 and 44844