What is the Greatest Common Factor of 81852 and 81872?

Greatest common factor (GCF) of 81852 and 81872 is 4.

GCF(81852,81872) = 4

We will now calculate the prime factors of 81852 and 81872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81852 and 81872.

How to find the GCF of 81852 and 81872?

We will first find the prime factorization of 81852 and 81872. After we will calculate the factors of 81852 and 81872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81872

Prime factors of 81872 are 2, 7, 17, 43. Prime factorization of 81872 in exponential form is:

81872 = 2⁴ × 7¹ × 17¹ × 43¹

Step-3: Factors of 81852

List of positive integer factors of 81852 that divides 81852 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

Step-4: Factors of 81872

List of positive integer factors of 81872 that divides 81852 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 43, 56, 68, 86, 112, 119, 136, 172, 238, 272, 301, 344, 476, 602, 688, 731, 952, 1204, 1462, 1904, 2408, 2924, 4816, 5117, 5848, 10234, 11696, 20468, 40936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81852 and 81872. The biggest common factor number is the GCF number.
So the greatest common factor 81852 and 81872 is 4.

Also check out the Least Common Multiple of 81852 and 81872