What is the Greatest Common Factor of 83056 and 83072?

Greatest common factor (GCF) of 83056 and 83072 is 16.

GCF(83056,83072) = 16

We will now calculate the prime factors of 83056 and 83072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83056 and 83072.

How to find the GCF of 83056 and 83072?

We will first find the prime factorization of 83056 and 83072. After we will calculate the factors of 83056 and 83072 and find the biggest common factor number .

Step-1: Prime Factorization of 83056

Prime factors of 83056 are 2, 29, 179. Prime factorization of 83056 in exponential form is:

83056 = 2⁴ × 29¹ × 179¹

Step-2: Prime Factorization of 83072

Prime factors of 83072 are 2, 11, 59. Prime factorization of 83072 in exponential form is:

83072 = 2⁷ × 11¹ × 59¹

Step-3: Factors of 83056

List of positive integer factors of 83056 that divides 83056 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 179, 232, 358, 464, 716, 1432, 2864, 5191, 10382, 20764, 41528

Step-4: Factors of 83072

List of positive integer factors of 83072 that divides 83056 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 59, 64, 88, 118, 128, 176, 236, 352, 472, 649, 704, 944, 1298, 1408, 1888, 2596, 3776, 5192, 7552, 10384, 20768, 41536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83056 and 83072. The biggest common factor number is the GCF number.
So the greatest common factor 83056 and 83072 is 16.

Also check out the Least Common Multiple of 83056 and 83072