What is the Greatest Common Factor of 82410 and 82422?

Greatest common factor (GCF) of 82410 and 82422 is 6.

GCF(82410,82422) = 6

We will now calculate the prime factors of 82410 and 82422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82410 and 82422.

How to find the GCF of 82410 and 82422?

We will first find the prime factorization of 82410 and 82422. After we will calculate the factors of 82410 and 82422 and find the biggest common factor number .

Step-1: Prime Factorization of 82410

Prime factors of 82410 are 2, 3, 5, 41, 67. Prime factorization of 82410 in exponential form is:

82410 = 2¹ × 3¹ × 5¹ × 41¹ × 67¹

Step-2: 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-3: Factors of 82410

List of positive integer factors of 82410 that divides 82410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 67, 82, 123, 134, 201, 205, 246, 335, 402, 410, 615, 670, 1005, 1230, 2010, 2747, 5494, 8241, 13735, 16482, 27470, 41205

Step-4: Factors of 82422

List of positive integer factors of 82422 that divides 82410 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82410 and 82422. The biggest common factor number is the GCF number.
So the greatest common factor 82410 and 82422 is 6.

Also check out the Least Common Multiple of 82410 and 82422