What is the Greatest Common Factor of 47440 and 47448?

Greatest common factor (GCF) of 47440 and 47448 is 8.

GCF(47440,47448) = 8

We will now calculate the prime factors of 47440 and 47448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47440 and 47448.

How to find the GCF of 47440 and 47448?

We will first find the prime factorization of 47440 and 47448. After we will calculate the factors of 47440 and 47448 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 47448

Prime factors of 47448 are 2, 3, 659. Prime factorization of 47448 in exponential form is:

47448 = 2³ × 3² × 659¹

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 47448

List of positive integer factors of 47448 that divides 47440 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 659, 1318, 1977, 2636, 3954, 5272, 5931, 7908, 11862, 15816, 23724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47440 and 47448. The biggest common factor number is the GCF number.
So the greatest common factor 47440 and 47448 is 8.

Also check out the Least Common Multiple of 47440 and 47448