What is the Greatest Common Factor of 81838 and 81852?

Greatest common factor (GCF) of 81838 and 81852 is 2.

GCF(81838,81852) = 2

We will now calculate the prime factors of 81838 and 81852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81838 and 81852.

How to find the GCF of 81838 and 81852?

We will first find the prime factorization of 81838 and 81852. After we will calculate the factors of 81838 and 81852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81852

Prime factors of 81852 are 2, 3, 19, 359. Prime factorization of 81852 in exponential form is:

81852 = 2² × 3¹ × 19¹ × 359¹

Step-3: Factors of 81838

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

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

Step-4: Factors of 81852

List of positive integer factors of 81852 that divides 81838 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 359, 718, 1077, 1436, 2154, 4308, 6821, 13642, 20463, 27284, 40926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81838 and 81852. The biggest common factor number is the GCF number.
So the greatest common factor 81838 and 81852 is 2.

Also check out the Least Common Multiple of 81838 and 81852