What is the Greatest Common Factor of 43014 and 43033?

Greatest common factor (GCF) of 43014 and 43033 is 1.

GCF(43014,43033) = 1

We will now calculate the prime factors of 43014 and 43033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43014 and 43033.

How to find the GCF of 43014 and 43033?

We will first find the prime factorization of 43014 and 43033. After we will calculate the factors of 43014 and 43033 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 43033

Prime factors of 43033 are 23, 1871. Prime factorization of 43033 in exponential form is:

43033 = 23¹ × 1871¹

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 43033

List of positive integer factors of 43033 that divides 43014 without a remainder.

1, 23, 1871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43014 and 43033. The biggest common factor number is the GCF number.
So the greatest common factor 43014 and 43033 is 1.

Also check out the Least Common Multiple of 43014 and 43033