What is the Greatest Common Factor of 82410 and 82424?

Greatest common factor (GCF) of 82410 and 82424 is 2.

GCF(82410,82424) = 2

We will now calculate the prime factors of 82410 and 82424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82410 and 82424.

How to find the GCF of 82410 and 82424?

We will first find the prime factorization of 82410 and 82424. After we will calculate the factors of 82410 and 82424 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 82424

Prime factors of 82424 are 2, 10303. Prime factorization of 82424 in exponential form is:

82424 = 2³ × 10303¹

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 82424

List of positive integer factors of 82424 that divides 82410 without a remainder.

1, 2, 4, 8, 10303, 20606, 41212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82410 and 82424. The biggest common factor number is the GCF number.
So the greatest common factor 82410 and 82424 is 2.

Also check out the Least Common Multiple of 82410 and 82424