What is the Greatest Common Factor of 47099 and 47113?

Greatest common factor (GCF) of 47099 and 47113 is 1.

GCF(47099,47113) = 1

We will now calculate the prime factors of 47099 and 47113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47099 and 47113.

How to find the GCF of 47099 and 47113?

We will first find the prime factorization of 47099 and 47113. After we will calculate the factors of 47099 and 47113 and find the biggest common factor number .

Step-1: Prime Factorization of 47099

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

47099 = 13¹ × 3623¹

Step-2: Prime Factorization of 47113

Prime factors of 47113 are 11, 4283. Prime factorization of 47113 in exponential form is:

47113 = 11¹ × 4283¹

Step-3: Factors of 47099

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

1, 13, 3623

Step-4: Factors of 47113

List of positive integer factors of 47113 that divides 47099 without a remainder.

1, 11, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47099 and 47113. The biggest common factor number is the GCF number.
So the greatest common factor 47099 and 47113 is 1.

Also check out the Least Common Multiple of 47099 and 47113