What is the Greatest Common Factor of 43830 and 43840?

Greatest common factor (GCF) of 43830 and 43840 is 10.

GCF(43830,43840) = 10

We will now calculate the prime factors of 43830 and 43840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43830 and 43840.

How to find the GCF of 43830 and 43840?

We will first find the prime factorization of 43830 and 43840. After we will calculate the factors of 43830 and 43840 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 43840

Prime factors of 43840 are 2, 5, 137. Prime factorization of 43840 in exponential form is:

43840 = 2⁶ × 5¹ × 137¹

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 43840

List of positive integer factors of 43840 that divides 43830 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 137, 160, 274, 320, 548, 685, 1096, 1370, 2192, 2740, 4384, 5480, 8768, 10960, 21920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43830 and 43840. The biggest common factor number is the GCF number.
So the greatest common factor 43830 and 43840 is 10.

Also check out the Least Common Multiple of 43830 and 43840