What is the Greatest Common Factor of 81812 and 81830?

Greatest common factor (GCF) of 81812 and 81830 is 2.

GCF(81812,81830) = 2

We will now calculate the prime factors of 81812 and 81830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81812 and 81830.

How to find the GCF of 81812 and 81830?

We will first find the prime factorization of 81812 and 81830. After we will calculate the factors of 81812 and 81830 and find the biggest common factor number .

Step-1: Prime Factorization of 81812

Prime factors of 81812 are 2, 113, 181. Prime factorization of 81812 in exponential form is:

81812 = 2² × 113¹ × 181¹

Step-2: 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-3: Factors of 81812

List of positive integer factors of 81812 that divides 81812 without a remainder.

1, 2, 4, 113, 181, 226, 362, 452, 724, 20453, 40906

Step-4: Factors of 81830

List of positive integer factors of 81830 that divides 81812 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81812 and 81830. The biggest common factor number is the GCF number.
So the greatest common factor 81812 and 81830 is 2.

Also check out the Least Common Multiple of 81812 and 81830