What is the Greatest Common Factor of 81830 and 81836?

Greatest common factor (GCF) of 81830 and 81836 is 2.

GCF(81830,81836) = 2

We will now calculate the prime factors of 81830 and 81836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81830 and 81836.

How to find the GCF of 81830 and 81836?

We will first find the prime factorization of 81830 and 81836. After we will calculate the factors of 81830 and 81836 and find the biggest common factor number .

Step-1: Prime Factorization of 81830

Prime factors of 81830 are 2, 5, 7, 167. Prime factorization of 81830 in exponential form is:

81830 = 2¹ × 5¹ × 7² × 167¹

Step-2: Prime Factorization of 81836

Prime factors of 81836 are 2, 41, 499. Prime factorization of 81836 in exponential form is:

81836 = 2² × 41¹ × 499¹

Step-3: Factors of 81830

List of positive integer factors of 81830 that divides 81830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 167, 245, 334, 490, 835, 1169, 1670, 2338, 5845, 8183, 11690, 16366, 40915

Step-4: Factors of 81836

List of positive integer factors of 81836 that divides 81830 without a remainder.

1, 2, 4, 41, 82, 164, 499, 998, 1996, 20459, 40918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81830 and 81836. The biggest common factor number is the GCF number.
So the greatest common factor 81830 and 81836 is 2.

Also check out the Least Common Multiple of 81830 and 81836