What is the Greatest Common Factor of 43830 and 43842?

Greatest common factor (GCF) of 43830 and 43842 is 6.

GCF(43830,43842) = 6

We will now calculate the prime factors of 43830 and 43842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43830 and 43842.

How to find the GCF of 43830 and 43842?

We will first find the prime factorization of 43830 and 43842. After we will calculate the factors of 43830 and 43842 and find the biggest common factor number .

Step-1: Prime Factorization of 43830

Prime factors of 43830 are 2, 3, 5, 487. Prime factorization of 43830 in exponential form is:

43830 = 2¹ × 3² × 5¹ × 487¹

Step-2: Prime Factorization of 43842

Prime factors of 43842 are 2, 3, 7307. Prime factorization of 43842 in exponential form is:

43842 = 2¹ × 3¹ × 7307¹

Step-3: Factors of 43830

List of positive integer factors of 43830 that divides 43830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 487, 974, 1461, 2435, 2922, 4383, 4870, 7305, 8766, 14610, 21915

Step-4: Factors of 43842

List of positive integer factors of 43842 that divides 43830 without a remainder.

1, 2, 3, 6, 7307, 14614, 21921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43830 and 43842. The biggest common factor number is the GCF number.
So the greatest common factor 43830 and 43842 is 6.

Also check out the Least Common Multiple of 43830 and 43842