What is the Greatest Common Factor of 83804 and 83822?

Greatest common factor (GCF) of 83804 and 83822 is 2.

GCF(83804,83822) = 2

We will now calculate the prime factors of 83804 and 83822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83804 and 83822.

How to find the GCF of 83804 and 83822?

We will first find the prime factorization of 83804 and 83822. After we will calculate the factors of 83804 and 83822 and find the biggest common factor number .

Step-1: Prime Factorization of 83804

Prime factors of 83804 are 2, 7, 41, 73. Prime factorization of 83804 in exponential form is:

83804 = 2² × 7¹ × 41¹ × 73¹

Step-2: Prime Factorization of 83822

Prime factors of 83822 are 2, 41911. Prime factorization of 83822 in exponential form is:

83822 = 2¹ × 41911¹

Step-3: Factors of 83804

List of positive integer factors of 83804 that divides 83804 without a remainder.

1, 2, 4, 7, 14, 28, 41, 73, 82, 146, 164, 287, 292, 511, 574, 1022, 1148, 2044, 2993, 5986, 11972, 20951, 41902

Step-4: Factors of 83822

List of positive integer factors of 83822 that divides 83804 without a remainder.

1, 2, 41911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83804 and 83822. The biggest common factor number is the GCF number.
So the greatest common factor 83804 and 83822 is 2.

Also check out the Least Common Multiple of 83804 and 83822