What is the Greatest Common Factor of 43814 and 43830?

Greatest common factor (GCF) of 43814 and 43830 is 2.

GCF(43814,43830) = 2

We will now calculate the prime factors of 43814 and 43830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43814 and 43830.

How to find the GCF of 43814 and 43830?

We will first find the prime factorization of 43814 and 43830. After we will calculate the factors of 43814 and 43830 and find the biggest common factor number .

Step-1: Prime Factorization of 43814

Prime factors of 43814 are 2, 19, 1153. Prime factorization of 43814 in exponential form is:

43814 = 2¹ × 19¹ × 1153¹

Step-2: 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-3: Factors of 43814

List of positive integer factors of 43814 that divides 43814 without a remainder.

1, 2, 19, 38, 1153, 2306, 21907

Step-4: Factors of 43830

List of positive integer factors of 43830 that divides 43814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43814 and 43830. The biggest common factor number is the GCF number.
So the greatest common factor 43814 and 43830 is 2.

Also check out the Least Common Multiple of 43814 and 43830