What is the Greatest Common Factor of 47056 and 47072?

Greatest common factor (GCF) of 47056 and 47072 is 16.

GCF(47056,47072) = 16

We will now calculate the prime factors of 47056 and 47072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47056 and 47072.

How to find the GCF of 47056 and 47072?

We will first find the prime factorization of 47056 and 47072. After we will calculate the factors of 47056 and 47072 and find the biggest common factor number .

Step-1: Prime Factorization of 47056

Prime factors of 47056 are 2, 17, 173. Prime factorization of 47056 in exponential form is:

47056 = 2⁴ × 17¹ × 173¹

Step-2: Prime Factorization of 47072

Prime factors of 47072 are 2, 1471. Prime factorization of 47072 in exponential form is:

47072 = 2⁵ × 1471¹

Step-3: Factors of 47056

List of positive integer factors of 47056 that divides 47056 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 173, 272, 346, 692, 1384, 2768, 2941, 5882, 11764, 23528

Step-4: Factors of 47072

List of positive integer factors of 47072 that divides 47056 without a remainder.

1, 2, 4, 8, 16, 32, 1471, 2942, 5884, 11768, 23536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47056 and 47072. The biggest common factor number is the GCF number.
So the greatest common factor 47056 and 47072 is 16.

Also check out the Least Common Multiple of 47056 and 47072