What is the Greatest Common Factor of 81056 and 81072?

Greatest common factor (GCF) of 81056 and 81072 is 16.

GCF(81056,81072) = 16

We will now calculate the prime factors of 81056 and 81072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81056 and 81072.

How to find the GCF of 81056 and 81072?

We will first find the prime factorization of 81056 and 81072. After we will calculate the factors of 81056 and 81072 and find the biggest common factor number .

Step-1: Prime Factorization of 81056

Prime factors of 81056 are 2, 17, 149. Prime factorization of 81056 in exponential form is:

81056 = 2⁵ × 17¹ × 149¹

Step-2: Prime Factorization of 81072

Prime factors of 81072 are 2, 3, 563. Prime factorization of 81072 in exponential form is:

81072 = 2⁴ × 3² × 563¹

Step-3: Factors of 81056

List of positive integer factors of 81056 that divides 81056 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 149, 272, 298, 544, 596, 1192, 2384, 2533, 4768, 5066, 10132, 20264, 40528

Step-4: Factors of 81072

List of positive integer factors of 81072 that divides 81056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 9008, 10134, 13512, 20268, 27024, 40536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81056 and 81072. The biggest common factor number is the GCF number.
So the greatest common factor 81056 and 81072 is 16.

Also check out the Least Common Multiple of 81056 and 81072