What is the Greatest Common Factor of 81344 and 81352?

Greatest common factor (GCF) of 81344 and 81352 is 8.

GCF(81344,81352) = 8

We will now calculate the prime factors of 81344 and 81352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81344 and 81352.

How to find the GCF of 81344 and 81352?

We will first find the prime factorization of 81344 and 81352. After we will calculate the factors of 81344 and 81352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81352

Prime factors of 81352 are 2, 10169. Prime factorization of 81352 in exponential form is:

81352 = 2³ × 10169¹

Step-3: Factors of 81344

List of positive integer factors of 81344 that divides 81344 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

Step-4: Factors of 81352

List of positive integer factors of 81352 that divides 81344 without a remainder.

1, 2, 4, 8, 10169, 20338, 40676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81344 and 81352. The biggest common factor number is the GCF number.
So the greatest common factor 81344 and 81352 is 8.

Also check out the Least Common Multiple of 81344 and 81352