What is the Greatest Common Factor of 47345 and 47360?

Greatest common factor (GCF) of 47345 and 47360 is 5.

GCF(47345,47360) = 5

We will now calculate the prime factors of 47345 and 47360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47345 and 47360.

How to find the GCF of 47345 and 47360?

We will first find the prime factorization of 47345 and 47360. After we will calculate the factors of 47345 and 47360 and find the biggest common factor number .

Step-1: Prime Factorization of 47345

Prime factors of 47345 are 5, 17, 557. Prime factorization of 47345 in exponential form is:

47345 = 5¹ × 17¹ × 557¹

Step-2: Prime Factorization of 47360

Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:

47360 = 2⁸ × 5¹ × 37¹

Step-3: Factors of 47345

List of positive integer factors of 47345 that divides 47345 without a remainder.

1, 5, 17, 85, 557, 2785, 9469

Step-4: Factors of 47360

List of positive integer factors of 47360 that divides 47345 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 592, 640, 740, 1184, 1280, 1480, 2368, 2960, 4736, 5920, 9472, 11840, 23680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47345 and 47360. The biggest common factor number is the GCF number.
So the greatest common factor 47345 and 47360 is 5.

Also check out the Least Common Multiple of 47345 and 47360