What is the Greatest Common Factor of 47440 and 47456?

Greatest common factor (GCF) of 47440 and 47456 is 16.

GCF(47440,47456) = 16

We will now calculate the prime factors of 47440 and 47456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47440 and 47456.

How to find the GCF of 47440 and 47456?

We will first find the prime factorization of 47440 and 47456. After we will calculate the factors of 47440 and 47456 and find the biggest common factor number .

Step-1: Prime Factorization of 47440

Prime factors of 47440 are 2, 5, 593. Prime factorization of 47440 in exponential form is:

47440 = 2⁴ × 5¹ × 593¹

Step-2: Prime Factorization of 47456

Prime factors of 47456 are 2, 1483. Prime factorization of 47456 in exponential form is:

47456 = 2⁵ × 1483¹

Step-3: Factors of 47440

List of positive integer factors of 47440 that divides 47440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 593, 1186, 2372, 2965, 4744, 5930, 9488, 11860, 23720

Step-4: Factors of 47456

List of positive integer factors of 47456 that divides 47440 without a remainder.

1, 2, 4, 8, 16, 32, 1483, 2966, 5932, 11864, 23728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47440 and 47456. The biggest common factor number is the GCF number.
So the greatest common factor 47440 and 47456 is 16.

Also check out the Least Common Multiple of 47440 and 47456