What is the Greatest Common Factor of 82830 and 82839?

Greatest common factor (GCF) of 82830 and 82839 is 3.

GCF(82830,82839) = 3

We will now calculate the prime factors of 82830 and 82839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82830 and 82839.

How to find the GCF of 82830 and 82839?

We will first find the prime factorization of 82830 and 82839. After we will calculate the factors of 82830 and 82839 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82839

Prime factors of 82839 are 3, 53, 521. Prime factorization of 82839 in exponential form is:

82839 = 3¹ × 53¹ × 521¹

Step-3: Factors of 82830

List of positive integer factors of 82830 that divides 82830 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

Step-4: Factors of 82839

List of positive integer factors of 82839 that divides 82830 without a remainder.

1, 3, 53, 159, 521, 1563, 27613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82830 and 82839. The biggest common factor number is the GCF number.
So the greatest common factor 82830 and 82839 is 3.

Also check out the Least Common Multiple of 82830 and 82839