What is the Greatest Common Factor of 43802 and 43822?

Greatest common factor (GCF) of 43802 and 43822 is 2.

GCF(43802,43822) = 2

We will now calculate the prime factors of 43802 and 43822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43802 and 43822.

How to find the GCF of 43802 and 43822?

We will first find the prime factorization of 43802 and 43822. After we will calculate the factors of 43802 and 43822 and find the biggest common factor number .

Step-1: Prime Factorization of 43802

Prime factors of 43802 are 2, 11, 181. Prime factorization of 43802 in exponential form is:

43802 = 2¹ × 11² × 181¹

Step-2: Prime Factorization of 43822

Prime factors of 43822 are 2, 21911. Prime factorization of 43822 in exponential form is:

43822 = 2¹ × 21911¹

Step-3: Factors of 43802

List of positive integer factors of 43802 that divides 43802 without a remainder.

1, 2, 11, 22, 121, 181, 242, 362, 1991, 3982, 21901

Step-4: Factors of 43822

List of positive integer factors of 43822 that divides 43802 without a remainder.

1, 2, 21911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43802 and 43822. The biggest common factor number is the GCF number.
So the greatest common factor 43802 and 43822 is 2.

Also check out the Least Common Multiple of 43802 and 43822