What is the Greatest Common Factor of 47096 and 47114?

Greatest common factor (GCF) of 47096 and 47114 is 2.

GCF(47096,47114) = 2

We will now calculate the prime factors of 47096 and 47114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47096 and 47114.

How to find the GCF of 47096 and 47114?

We will first find the prime factorization of 47096 and 47114. After we will calculate the factors of 47096 and 47114 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 47114

Prime factors of 47114 are 2, 23557. Prime factorization of 47114 in exponential form is:

47114 = 2¹ × 23557¹

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 47114

List of positive integer factors of 47114 that divides 47096 without a remainder.

1, 2, 23557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47096 and 47114. The biggest common factor number is the GCF number.
So the greatest common factor 47096 and 47114 is 2.

Also check out the Least Common Multiple of 47096 and 47114