What is the Greatest Common Factor of 81872 and 81884?

Greatest common factor (GCF) of 81872 and 81884 is 4.

GCF(81872,81884) = 4

We will now calculate the prime factors of 81872 and 81884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81872 and 81884.

How to find the GCF of 81872 and 81884?

We will first find the prime factorization of 81872 and 81884. After we will calculate the factors of 81872 and 81884 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 81884

Prime factors of 81884 are 2, 11, 1861. Prime factorization of 81884 in exponential form is:

81884 = 2² × 11¹ × 1861¹

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 81884

List of positive integer factors of 81884 that divides 81872 without a remainder.

1, 2, 4, 11, 22, 44, 1861, 3722, 7444, 20471, 40942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81872 and 81884. The biggest common factor number is the GCF number.
So the greatest common factor 81872 and 81884 is 4.

Also check out the Least Common Multiple of 81872 and 81884