What is the Greatest Common Factor of 81824 and 81838?

Greatest common factor (GCF) of 81824 and 81838 is 2.

GCF(81824,81838) = 2

We will now calculate the prime factors of 81824 and 81838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81824 and 81838.

How to find the GCF of 81824 and 81838?

We will first find the prime factorization of 81824 and 81838. After we will calculate the factors of 81824 and 81838 and find the biggest common factor number .

Step-1: Prime Factorization of 81824

Prime factors of 81824 are 2, 2557. Prime factorization of 81824 in exponential form is:

81824 = 2⁵ × 2557¹

Step-2: Prime Factorization of 81838

Prime factors of 81838 are 2, 17, 29, 83. Prime factorization of 81838 in exponential form is:

81838 = 2¹ × 17¹ × 29¹ × 83¹

Step-3: Factors of 81824

List of positive integer factors of 81824 that divides 81824 without a remainder.

1, 2, 4, 8, 16, 32, 2557, 5114, 10228, 20456, 40912

Step-4: Factors of 81838

List of positive integer factors of 81838 that divides 81824 without a remainder.

1, 2, 17, 29, 34, 58, 83, 166, 493, 986, 1411, 2407, 2822, 4814, 40919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81824 and 81838. The biggest common factor number is the GCF number.
So the greatest common factor 81824 and 81838 is 2.

Also check out the Least Common Multiple of 81824 and 81838