What is the Greatest Common Factor of 43820 and 43828?

Greatest common factor (GCF) of 43820 and 43828 is 4.

GCF(43820,43828) = 4

We will now calculate the prime factors of 43820 and 43828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43820 and 43828.

How to find the GCF of 43820 and 43828?

We will first find the prime factorization of 43820 and 43828. After we will calculate the factors of 43820 and 43828 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43828

Prime factors of 43828 are 2, 10957. Prime factorization of 43828 in exponential form is:

43828 = 2² × 10957¹

Step-3: Factors of 43820

List of positive integer factors of 43820 that divides 43820 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

Step-4: Factors of 43828

List of positive integer factors of 43828 that divides 43820 without a remainder.

1, 2, 4, 10957, 21914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43820 and 43828. The biggest common factor number is the GCF number.
So the greatest common factor 43820 and 43828 is 4.

Also check out the Least Common Multiple of 43820 and 43828