What is the Greatest Common Factor of 43014 and 43029?

Greatest common factor (GCF) of 43014 and 43029 is 3.

GCF(43014,43029) = 3

We will now calculate the prime factors of 43014 and 43029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43014 and 43029.

How to find the GCF of 43014 and 43029?

We will first find the prime factorization of 43014 and 43029. After we will calculate the factors of 43014 and 43029 and find the biggest common factor number .

Step-1: Prime Factorization of 43014

Prime factors of 43014 are 2, 3, 67, 107. Prime factorization of 43014 in exponential form is:

43014 = 2¹ × 3¹ × 67¹ × 107¹

Step-2: 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-3: Factors of 43014

List of positive integer factors of 43014 that divides 43014 without a remainder.

1, 2, 3, 6, 67, 107, 134, 201, 214, 321, 402, 642, 7169, 14338, 21507

Step-4: Factors of 43029

List of positive integer factors of 43029 that divides 43014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43014 and 43029. The biggest common factor number is the GCF number.
So the greatest common factor 43014 and 43029 is 3.

Also check out the Least Common Multiple of 43014 and 43029