What is the Greatest Common Factor of 47596 and 47609?

Greatest common factor (GCF) of 47596 and 47609 is 1.

GCF(47596,47609) = 1

We will now calculate the prime factors of 47596 and 47609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47596 and 47609.

How to find the GCF of 47596 and 47609?

We will first find the prime factorization of 47596 and 47609. After we will calculate the factors of 47596 and 47609 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47609

Prime factors of 47609 are 47609. Prime factorization of 47609 in exponential form is:

47609 = 47609¹

Step-3: Factors of 47596

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

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

Step-4: Factors of 47609

List of positive integer factors of 47609 that divides 47596 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47596 and 47609. The biggest common factor number is the GCF number.
So the greatest common factor 47596 and 47609 is 1.

Also check out the Least Common Multiple of 47596 and 47609