What is the Greatest Common Factor of 82422 and 82441?

Greatest common factor (GCF) of 82422 and 82441 is 19.

GCF(82422,82441) = 19

We will now calculate the prime factors of 82422 and 82441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82422 and 82441.

How to find the GCF of 82422 and 82441?

We will first find the prime factorization of 82422 and 82441. After we will calculate the factors of 82422 and 82441 and find the biggest common factor number .

Step-1: Prime Factorization of 82422

Prime factors of 82422 are 2, 3, 19, 241. Prime factorization of 82422 in exponential form is:

82422 = 2¹ × 3² × 19¹ × 241¹

Step-2: Prime Factorization of 82441

Prime factors of 82441 are 19, 4339. Prime factorization of 82441 in exponential form is:

82441 = 19¹ × 4339¹

Step-3: Factors of 82422

List of positive integer factors of 82422 that divides 82422 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 241, 342, 482, 723, 1446, 2169, 4338, 4579, 9158, 13737, 27474, 41211

Step-4: Factors of 82441

List of positive integer factors of 82441 that divides 82422 without a remainder.

1, 19, 4339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82422 and 82441. The biggest common factor number is the GCF number.
So the greatest common factor 82422 and 82441 is 19.

Also check out the Least Common Multiple of 82422 and 82441