What is the Greatest Common Factor of 47440 and 47455?

Greatest common factor (GCF) of 47440 and 47455 is 5.

GCF(47440,47455) = 5

We will now calculate the prime factors of 47440 and 47455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47440 and 47455.

How to find the GCF of 47440 and 47455?

We will first find the prime factorization of 47440 and 47455. After we will calculate the factors of 47440 and 47455 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 47455

Prime factors of 47455 are 5, 9491. Prime factorization of 47455 in exponential form is:

47455 = 5¹ × 9491¹

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 47455

List of positive integer factors of 47455 that divides 47440 without a remainder.

1, 5, 9491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47440 and 47455. The biggest common factor number is the GCF number.
So the greatest common factor 47440 and 47455 is 5.

Also check out the Least Common Multiple of 47440 and 47455