What is the Greatest Common Factor of 47085 and 47099?

Greatest common factor (GCF) of 47085 and 47099 is 1.

GCF(47085,47099) = 1

We will now calculate the prime factors of 47085 and 47099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47085 and 47099.

How to find the GCF of 47085 and 47099?

We will first find the prime factorization of 47085 and 47099. After we will calculate the factors of 47085 and 47099 and find the biggest common factor number .

Step-1: Prime Factorization of 47085

Prime factors of 47085 are 3, 5, 43, 73. Prime factorization of 47085 in exponential form is:

47085 = 3¹ × 5¹ × 43¹ × 73¹

Step-2: Prime Factorization of 47099

Prime factors of 47099 are 13, 3623. Prime factorization of 47099 in exponential form is:

47099 = 13¹ × 3623¹

Step-3: Factors of 47085

List of positive integer factors of 47085 that divides 47085 without a remainder.

1, 3, 5, 15, 43, 73, 129, 215, 219, 365, 645, 1095, 3139, 9417, 15695

Step-4: Factors of 47099

List of positive integer factors of 47099 that divides 47085 without a remainder.

1, 13, 3623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47085 and 47099. The biggest common factor number is the GCF number.
So the greatest common factor 47085 and 47099 is 1.

Also check out the Least Common Multiple of 47085 and 47099