What is the Greatest Common Factor of 43000 and 43014?

Greatest common factor (GCF) of 43000 and 43014 is 2.

GCF(43000,43014) = 2

We will now calculate the prime factors of 43000 and 43014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43000 and 43014.

How to find the GCF of 43000 and 43014?

We will first find the prime factorization of 43000 and 43014. After we will calculate the factors of 43000 and 43014 and find the biggest common factor number .

Step-1: Prime Factorization of 43000

Prime factors of 43000 are 2, 5, 43. Prime factorization of 43000 in exponential form is:

43000 = 2³ × 5³ × 43¹

Step-2: 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-3: Factors of 43000

List of positive integer factors of 43000 that divides 43000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 125, 172, 200, 215, 250, 344, 430, 500, 860, 1000, 1075, 1720, 2150, 4300, 5375, 8600, 10750, 21500

Step-4: Factors of 43014

List of positive integer factors of 43014 that divides 43000 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43000 and 43014. The biggest common factor number is the GCF number.
So the greatest common factor 43000 and 43014 is 2.

Also check out the Least Common Multiple of 43000 and 43014