What is the Greatest Common Factor of 47584 and 47602?

Greatest common factor (GCF) of 47584 and 47602 is 2.

GCF(47584,47602) = 2

We will now calculate the prime factors of 47584 and 47602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47584 and 47602.

How to find the GCF of 47584 and 47602?

We will first find the prime factorization of 47584 and 47602. After we will calculate the factors of 47584 and 47602 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 47602

Prime factors of 47602 are 2, 23801. Prime factorization of 47602 in exponential form is:

47602 = 2¹ × 23801¹

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 47602

List of positive integer factors of 47602 that divides 47584 without a remainder.

1, 2, 23801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47584 and 47602. The biggest common factor number is the GCF number.
So the greatest common factor 47584 and 47602 is 2.

Also check out the Least Common Multiple of 47584 and 47602