What is the Greatest Common Factor of 82810 and 82830?

Greatest common factor (GCF) of 82810 and 82830 is 10.

GCF(82810,82830) = 10

We will now calculate the prime factors of 82810 and 82830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82810 and 82830.

How to find the GCF of 82810 and 82830?

We will first find the prime factorization of 82810 and 82830. After we will calculate the factors of 82810 and 82830 and find the biggest common factor number .

Step-1: Prime Factorization of 82810

Prime factors of 82810 are 2, 5, 7, 13. Prime factorization of 82810 in exponential form is:

82810 = 2¹ × 5¹ × 7² × 13²

Step-2: Prime Factorization of 82830

Prime factors of 82830 are 2, 3, 5, 11, 251. Prime factorization of 82830 in exponential form is:

82830 = 2¹ × 3¹ × 5¹ × 11¹ × 251¹

Step-3: Factors of 82810

List of positive integer factors of 82810 that divides 82810 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 169, 182, 245, 338, 455, 490, 637, 845, 910, 1183, 1274, 1690, 2366, 3185, 5915, 6370, 8281, 11830, 16562, 41405

Step-4: Factors of 82830

List of positive integer factors of 82830 that divides 82810 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 251, 330, 502, 753, 1255, 1506, 2510, 2761, 3765, 5522, 7530, 8283, 13805, 16566, 27610, 41415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82810 and 82830. The biggest common factor number is the GCF number.
So the greatest common factor 82810 and 82830 is 10.

Also check out the Least Common Multiple of 82810 and 82830