What is the Greatest Common Factor of 43808 and 43820?

Greatest common factor (GCF) of 43808 and 43820 is 4.

GCF(43808,43820) = 4

We will now calculate the prime factors of 43808 and 43820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43808 and 43820.

How to find the GCF of 43808 and 43820?

We will first find the prime factorization of 43808 and 43820. After we will calculate the factors of 43808 and 43820 and find the biggest common factor number .

Step-1: Prime Factorization of 43808

Prime factors of 43808 are 2, 37. Prime factorization of 43808 in exponential form is:

43808 = 2⁵ × 37²

Step-2: Prime Factorization of 43820

Prime factors of 43820 are 2, 5, 7, 313. Prime factorization of 43820 in exponential form is:

43820 = 2² × 5¹ × 7¹ × 313¹

Step-3: Factors of 43808

List of positive integer factors of 43808 that divides 43808 without a remainder.

1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184, 1369, 2738, 5476, 10952, 21904

Step-4: Factors of 43820

List of positive integer factors of 43820 that divides 43808 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 313, 626, 1252, 1565, 2191, 3130, 4382, 6260, 8764, 10955, 21910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43808 and 43820. The biggest common factor number is the GCF number.
So the greatest common factor 43808 and 43820 is 4.

Also check out the Least Common Multiple of 43808 and 43820