What is the Greatest Common Factor of 81830 and 81835?

Greatest common factor (GCF) of 81830 and 81835 is 5.

GCF(81830,81835) = 5

We will now calculate the prime factors of 81830 and 81835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81830 and 81835.

How to find the GCF of 81830 and 81835?

We will first find the prime factorization of 81830 and 81835. After we will calculate the factors of 81830 and 81835 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 81835

Prime factors of 81835 are 5, 13, 1259. Prime factorization of 81835 in exponential form is:

81835 = 5¹ × 13¹ × 1259¹

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 81835

List of positive integer factors of 81835 that divides 81830 without a remainder.

1, 5, 13, 65, 1259, 6295, 16367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81830 and 81835. The biggest common factor number is the GCF number.
So the greatest common factor 81830 and 81835 is 5.

Also check out the Least Common Multiple of 81830 and 81835