What is the Greatest Common Factor of 43830 and 43845?

Greatest common factor (GCF) of 43830 and 43845 is 15.

GCF(43830,43845) = 15

We will now calculate the prime factors of 43830 and 43845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43830 and 43845.

How to find the GCF of 43830 and 43845?

We will first find the prime factorization of 43830 and 43845. After we will calculate the factors of 43830 and 43845 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 43845

Prime factors of 43845 are 3, 5, 37, 79. Prime factorization of 43845 in exponential form is:

43845 = 3¹ × 5¹ × 37¹ × 79¹

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 43845

List of positive integer factors of 43845 that divides 43830 without a remainder.

1, 3, 5, 15, 37, 79, 111, 185, 237, 395, 555, 1185, 2923, 8769, 14615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43830 and 43845. The biggest common factor number is the GCF number.
So the greatest common factor 43830 and 43845 is 15.

Also check out the Least Common Multiple of 43830 and 43845