What is the Greatest Common Factor of 81906 and 81923?

Greatest common factor (GCF) of 81906 and 81923 is 17.

GCF(81906,81923) = 17

We will now calculate the prime factors of 81906 and 81923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81906 and 81923.

How to find the GCF of 81906 and 81923?

We will first find the prime factorization of 81906 and 81923. After we will calculate the factors of 81906 and 81923 and find the biggest common factor number .

Step-1: Prime Factorization of 81906

Prime factors of 81906 are 2, 3, 11, 17, 73. Prime factorization of 81906 in exponential form is:

81906 = 2¹ × 3¹ × 11¹ × 17¹ × 73¹

Step-2: Prime Factorization of 81923

Prime factors of 81923 are 17, 61, 79. Prime factorization of 81923 in exponential form is:

81923 = 17¹ × 61¹ × 79¹

Step-3: Factors of 81906

List of positive integer factors of 81906 that divides 81906 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 73, 102, 146, 187, 219, 374, 438, 561, 803, 1122, 1241, 1606, 2409, 2482, 3723, 4818, 7446, 13651, 27302, 40953

Step-4: Factors of 81923

List of positive integer factors of 81923 that divides 81906 without a remainder.

1, 17, 61, 79, 1037, 1343, 4819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81906 and 81923. The biggest common factor number is the GCF number.
So the greatest common factor 81906 and 81923 is 17.

Also check out the Least Common Multiple of 81906 and 81923