What is the Greatest Common Factor of 47044 and 47056?

Greatest common factor (GCF) of 47044 and 47056 is 4.

GCF(47044,47056) = 4

We will now calculate the prime factors of 47044 and 47056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47044 and 47056.

How to find the GCF of 47044 and 47056?

We will first find the prime factorization of 47044 and 47056. After we will calculate the factors of 47044 and 47056 and find the biggest common factor number .

Step-1: Prime Factorization of 47044

Prime factors of 47044 are 2, 19, 619. Prime factorization of 47044 in exponential form is:

47044 = 2² × 19¹ × 619¹

Step-2: 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-3: Factors of 47044

List of positive integer factors of 47044 that divides 47044 without a remainder.

1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522

Step-4: Factors of 47056

List of positive integer factors of 47056 that divides 47044 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47044 and 47056. The biggest common factor number is the GCF number.
So the greatest common factor 47044 and 47056 is 4.

Also check out the Least Common Multiple of 47044 and 47056