What is the Greatest Common Factor of 81314 and 81328?

Greatest common factor (GCF) of 81314 and 81328 is 2.

GCF(81314,81328) = 2

We will now calculate the prime factors of 81314 and 81328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81314 and 81328.

How to find the GCF of 81314 and 81328?

We will first find the prime factorization of 81314 and 81328. After we will calculate the factors of 81314 and 81328 and find the biggest common factor number .

Step-1: Prime Factorization of 81314

Prime factors of 81314 are 2, 109, 373. Prime factorization of 81314 in exponential form is:

81314 = 2¹ × 109¹ × 373¹

Step-2: Prime Factorization of 81328

Prime factors of 81328 are 2, 13, 17, 23. Prime factorization of 81328 in exponential form is:

81328 = 2⁴ × 13¹ × 17¹ × 23¹

Step-3: Factors of 81314

List of positive integer factors of 81314 that divides 81314 without a remainder.

1, 2, 109, 218, 373, 746, 40657

Step-4: Factors of 81328

List of positive integer factors of 81328 that divides 81314 without a remainder.

1, 2, 4, 8, 13, 16, 17, 23, 26, 34, 46, 52, 68, 92, 104, 136, 184, 208, 221, 272, 299, 368, 391, 442, 598, 782, 884, 1196, 1564, 1768, 2392, 3128, 3536, 4784, 5083, 6256, 10166, 20332, 40664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81314 and 81328. The biggest common factor number is the GCF number.
So the greatest common factor 81314 and 81328 is 2.

Also check out the Least Common Multiple of 81314 and 81328