What is the Greatest Common Factor of 43029 and 43036?

Greatest common factor (GCF) of 43029 and 43036 is 7.

GCF(43029,43036) = 7

We will now calculate the prime factors of 43029 and 43036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43029 and 43036.

How to find the GCF of 43029 and 43036?

We will first find the prime factorization of 43029 and 43036. After we will calculate the factors of 43029 and 43036 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 43036

Prime factors of 43036 are 2, 7, 29, 53. Prime factorization of 43036 in exponential form is:

43036 = 2² × 7¹ × 29¹ × 53¹

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 43036

List of positive integer factors of 43036 that divides 43029 without a remainder.

1, 2, 4, 7, 14, 28, 29, 53, 58, 106, 116, 203, 212, 371, 406, 742, 812, 1484, 1537, 3074, 6148, 10759, 21518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43029 and 43036. The biggest common factor number is the GCF number.
So the greatest common factor 43029 and 43036 is 7.

Also check out the Least Common Multiple of 43029 and 43036