What is the Greatest Common Factor of 93056 and 93072?

Greatest common factor (GCF) of 93056 and 93072 is 16.

GCF(93056,93072) = 16

We will now calculate the prime factors of 93056 and 93072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93056 and 93072.

How to find the GCF of 93056 and 93072?

We will first find the prime factorization of 93056 and 93072. After we will calculate the factors of 93056 and 93072 and find the biggest common factor number .

Step-1: Prime Factorization of 93056

Prime factors of 93056 are 2, 727. Prime factorization of 93056 in exponential form is:

93056 = 2⁷ × 727¹

Step-2: Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 2⁴ × 3¹ × 7¹ × 277¹

Step-3: Factors of 93056

List of positive integer factors of 93056 that divides 93056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 727, 1454, 2908, 5816, 11632, 23264, 46528

Step-4: Factors of 93072

List of positive integer factors of 93072 that divides 93056 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 277, 336, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 4432, 5817, 6648, 7756, 11634, 13296, 15512, 23268, 31024, 46536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93056 and 93072. The biggest common factor number is the GCF number.
So the greatest common factor 93056 and 93072 is 16.

Also check out the Least Common Multiple of 93056 and 93072