What is the Greatest Common Factor of 81326 and 81344?

Greatest common factor (GCF) of 81326 and 81344 is 2.

GCF(81326,81344) = 2

We will now calculate the prime factors of 81326 and 81344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81326 and 81344.

How to find the GCF of 81326 and 81344?

We will first find the prime factorization of 81326 and 81344. After we will calculate the factors of 81326 and 81344 and find the biggest common factor number .

Step-1: Prime Factorization of 81326

Prime factors of 81326 are 2, 7, 37, 157. Prime factorization of 81326 in exponential form is:

81326 = 2¹ × 7¹ × 37¹ × 157¹

Step-2: Prime Factorization of 81344

Prime factors of 81344 are 2, 31, 41. Prime factorization of 81344 in exponential form is:

81344 = 2⁶ × 31¹ × 41¹

Step-3: Factors of 81326

List of positive integer factors of 81326 that divides 81326 without a remainder.

1, 2, 7, 14, 37, 74, 157, 259, 314, 518, 1099, 2198, 5809, 11618, 40663

Step-4: Factors of 81344

List of positive integer factors of 81344 that divides 81326 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 64, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 1984, 2542, 2624, 5084, 10168, 20336, 40672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81326 and 81344. The biggest common factor number is the GCF number.
So the greatest common factor 81326 and 81344 is 2.

Also check out the Least Common Multiple of 81326 and 81344