What is the Greatest Common Factor of 47096 and 47113?

Greatest common factor (GCF) of 47096 and 47113 is 1.

GCF(47096,47113) = 1

We will now calculate the prime factors of 47096 and 47113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47096 and 47113.

How to find the GCF of 47096 and 47113?

We will first find the prime factorization of 47096 and 47113. After we will calculate the factors of 47096 and 47113 and find the biggest common factor number .

Step-1: Prime Factorization of 47096

Prime factors of 47096 are 2, 7, 29. Prime factorization of 47096 in exponential form is:

47096 = 2³ × 7¹ × 29²

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 47096

List of positive integer factors of 47096 that divides 47096 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 841, 1624, 1682, 3364, 5887, 6728, 11774, 23548

Step-4: Factors of 47113

List of positive integer factors of 47113 that divides 47096 without a remainder.

1, 11, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47096 and 47113. The biggest common factor number is the GCF number.
So the greatest common factor 47096 and 47113 is 1.

Also check out the Least Common Multiple of 47096 and 47113