What is the Greatest Common Factor of 81812 and 81828?

Greatest common factor (GCF) of 81812 and 81828 is 4.

GCF(81812,81828) = 4

We will now calculate the prime factors of 81812 and 81828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81812 and 81828.

How to find the GCF of 81812 and 81828?

We will first find the prime factorization of 81812 and 81828. After we will calculate the factors of 81812 and 81828 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 81828

Prime factors of 81828 are 2, 3, 2273. Prime factorization of 81828 in exponential form is:

81828 = 2² × 3² × 2273¹

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 81828

List of positive integer factors of 81828 that divides 81812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2273, 4546, 6819, 9092, 13638, 20457, 27276, 40914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81812 and 81828. The biggest common factor number is the GCF number.
So the greatest common factor 81812 and 81828 is 4.

Also check out the Least Common Multiple of 81812 and 81828