What is the Greatest Common Factor of 81872 and 81889?

Greatest common factor (GCF) of 81872 and 81889 is 17.

GCF(81872,81889) = 17

We will now calculate the prime factors of 81872 and 81889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81872 and 81889.

How to find the GCF of 81872 and 81889?

We will first find the prime factorization of 81872 and 81889. After we will calculate the factors of 81872 and 81889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81889

Prime factors of 81889 are 17, 4817. Prime factorization of 81889 in exponential form is:

81889 = 17¹ × 4817¹

Step-3: Factors of 81872

List of positive integer factors of 81872 that divides 81872 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

Step-4: Factors of 81889

List of positive integer factors of 81889 that divides 81872 without a remainder.

1, 17, 4817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81872 and 81889. The biggest common factor number is the GCF number.
So the greatest common factor 81872 and 81889 is 17.

Also check out the Least Common Multiple of 81872 and 81889