What is the Greatest Common Factor of 47584 and 47596?

Greatest common factor (GCF) of 47584 and 47596 is 4.

GCF(47584,47596) = 4

We will now calculate the prime factors of 47584 and 47596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47584 and 47596.

How to find the GCF of 47584 and 47596?

We will first find the prime factorization of 47584 and 47596. After we will calculate the factors of 47584 and 47596 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 47596

Prime factors of 47596 are 2, 73, 163. Prime factorization of 47596 in exponential form is:

47596 = 2² × 73¹ × 163¹

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 47596

List of positive integer factors of 47596 that divides 47584 without a remainder.

1, 2, 4, 73, 146, 163, 292, 326, 652, 11899, 23798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47584 and 47596. The biggest common factor number is the GCF number.
So the greatest common factor 47584 and 47596 is 4.

Also check out the Least Common Multiple of 47584 and 47596