What is the Greatest Common Factor of 43810 and 43820?

Greatest common factor (GCF) of 43810 and 43820 is 10.

GCF(43810,43820) = 10

We will now calculate the prime factors of 43810 and 43820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43810 and 43820.

How to find the GCF of 43810 and 43820?

We will first find the prime factorization of 43810 and 43820. After we will calculate the factors of 43810 and 43820 and find the biggest common factor number .

Step-1: Prime Factorization of 43810

Prime factors of 43810 are 2, 5, 13, 337. Prime factorization of 43810 in exponential form is:

43810 = 2¹ × 5¹ × 13¹ × 337¹

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 43810

List of positive integer factors of 43810 that divides 43810 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 337, 674, 1685, 3370, 4381, 8762, 21905

Step-4: Factors of 43820

List of positive integer factors of 43820 that divides 43810 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 43810 and 43820. The biggest common factor number is the GCF number.
So the greatest common factor 43810 and 43820 is 10.

Also check out the Least Common Multiple of 43810 and 43820