What is the Greatest Common Factor of 43820 and 43838?

Greatest common factor (GCF) of 43820 and 43838 is 2.

GCF(43820,43838) = 2

We will now calculate the prime factors of 43820 and 43838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43820 and 43838.

How to find the GCF of 43820 and 43838?

We will first find the prime factorization of 43820 and 43838. After we will calculate the factors of 43820 and 43838 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 43838

Prime factors of 43838 are 2, 23, 953. Prime factorization of 43838 in exponential form is:

43838 = 2¹ × 23¹ × 953¹

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 43838

List of positive integer factors of 43838 that divides 43820 without a remainder.

1, 2, 23, 46, 953, 1906, 21919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43820 and 43838. The biggest common factor number is the GCF number.
So the greatest common factor 43820 and 43838 is 2.

Also check out the Least Common Multiple of 43820 and 43838