What is the Greatest Common Factor of 43029 and 43038?

Greatest common factor (GCF) of 43029 and 43038 is 9.

GCF(43029,43038) = 9

We will now calculate the prime factors of 43029 and 43038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43029 and 43038.

How to find the GCF of 43029 and 43038?

We will first find the prime factorization of 43029 and 43038. After we will calculate the factors of 43029 and 43038 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 43038

Prime factors of 43038 are 2, 3, 797. Prime factorization of 43038 in exponential form is:

43038 = 2¹ × 3³ × 797¹

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 43038

List of positive integer factors of 43038 that divides 43029 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 797, 1594, 2391, 4782, 7173, 14346, 21519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43029 and 43038. The biggest common factor number is the GCF number.
So the greatest common factor 43029 and 43038 is 9.

Also check out the Least Common Multiple of 43029 and 43038