What is the Greatest Common Factor of 82390 and 82410?

Greatest common factor (GCF) of 82390 and 82410 is 10.

GCF(82390,82410) = 10

We will now calculate the prime factors of 82390 and 82410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82390 and 82410.

How to find the GCF of 82390 and 82410?

We will first find the prime factorization of 82390 and 82410. After we will calculate the factors of 82390 and 82410 and find the biggest common factor number .

Step-1: Prime Factorization of 82390

Prime factors of 82390 are 2, 5, 7, 11, 107. Prime factorization of 82390 in exponential form is:

82390 = 2¹ × 5¹ × 7¹ × 11¹ × 107¹

Step-2: 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-3: Factors of 82390

List of positive integer factors of 82390 that divides 82390 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 107, 110, 154, 214, 385, 535, 749, 770, 1070, 1177, 1498, 2354, 3745, 5885, 7490, 8239, 11770, 16478, 41195

Step-4: Factors of 82410

List of positive integer factors of 82410 that divides 82390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82390 and 82410. The biggest common factor number is the GCF number.
So the greatest common factor 82390 and 82410 is 10.

Also check out the Least Common Multiple of 82390 and 82410