What is the Greatest Common Factor of 81814 and 81822?

Greatest common factor (GCF) of 81814 and 81822 is 2.

GCF(81814,81822) = 2

We will now calculate the prime factors of 81814 and 81822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81814 and 81822.

How to find the GCF of 81814 and 81822?

We will first find the prime factorization of 81814 and 81822. After we will calculate the factors of 81814 and 81822 and find the biggest common factor number .

Step-1: Prime Factorization of 81814

Prime factors of 81814 are 2, 19, 2153. Prime factorization of 81814 in exponential form is:

81814 = 2¹ × 19¹ × 2153¹

Step-2: Prime Factorization of 81822

Prime factors of 81822 are 2, 3, 13, 1049. Prime factorization of 81822 in exponential form is:

81822 = 2¹ × 3¹ × 13¹ × 1049¹

Step-3: Factors of 81814

List of positive integer factors of 81814 that divides 81814 without a remainder.

1, 2, 19, 38, 2153, 4306, 40907

Step-4: Factors of 81822

List of positive integer factors of 81822 that divides 81814 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1049, 2098, 3147, 6294, 13637, 27274, 40911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81814 and 81822. The biggest common factor number is the GCF number.
So the greatest common factor 81814 and 81822 is 2.

Also check out the Least Common Multiple of 81814 and 81822