What is the Greatest Common Factor of 47584 and 47601?

Greatest common factor (GCF) of 47584 and 47601 is 1.

GCF(47584,47601) = 1

We will now calculate the prime factors of 47584 and 47601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47584 and 47601.

How to find the GCF of 47584 and 47601?

We will first find the prime factorization of 47584 and 47601. After we will calculate the factors of 47584 and 47601 and find the biggest common factor number .

Step-1: Prime Factorization of 47584

Prime factors of 47584 are 2, 1487. Prime factorization of 47584 in exponential form is:

47584 = 2⁵ × 1487¹

Step-2: Prime Factorization of 47601

Prime factors of 47601 are 3, 41, 43. Prime factorization of 47601 in exponential form is:

47601 = 3³ × 41¹ × 43¹

Step-3: Factors of 47584

List of positive integer factors of 47584 that divides 47584 without a remainder.

1, 2, 4, 8, 16, 32, 1487, 2974, 5948, 11896, 23792

Step-4: Factors of 47601

List of positive integer factors of 47601 that divides 47584 without a remainder.

1, 3, 9, 27, 41, 43, 123, 129, 369, 387, 1107, 1161, 1763, 5289, 15867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47584 and 47601. The biggest common factor number is the GCF number.
So the greatest common factor 47584 and 47601 is 1.

Also check out the Least Common Multiple of 47584 and 47601