What is the Greatest Common Factor of 43029 and 43044?

Greatest common factor (GCF) of 43029 and 43044 is 3.

GCF(43029,43044) = 3

We will now calculate the prime factors of 43029 and 43044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43029 and 43044.

How to find the GCF of 43029 and 43044?

We will first find the prime factorization of 43029 and 43044. After we will calculate the factors of 43029 and 43044 and find the biggest common factor number .

Step-1: Prime Factorization of 43029

Prime factors of 43029 are 3, 7, 683. Prime factorization of 43029 in exponential form is:

43029 = 3² × 7¹ × 683¹

Step-2: Prime Factorization of 43044

Prime factors of 43044 are 2, 3, 17, 211. Prime factorization of 43044 in exponential form is:

43044 = 2² × 3¹ × 17¹ × 211¹

Step-3: Factors of 43029

List of positive integer factors of 43029 that divides 43029 without a remainder.

1, 3, 7, 9, 21, 63, 683, 2049, 4781, 6147, 14343

Step-4: Factors of 43044

List of positive integer factors of 43044 that divides 43029 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 211, 422, 633, 844, 1266, 2532, 3587, 7174, 10761, 14348, 21522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43029 and 43044. The biggest common factor number is the GCF number.
So the greatest common factor 43029 and 43044 is 3.

Also check out the Least Common Multiple of 43029 and 43044