What is the Greatest Common Factor of 47798 and 47816?

Greatest common factor (GCF) of 47798 and 47816 is 2.

GCF(47798,47816) = 2

We will now calculate the prime factors of 47798 and 47816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47798 and 47816.

How to find the GCF of 47798 and 47816?

We will first find the prime factorization of 47798 and 47816. After we will calculate the factors of 47798 and 47816 and find the biggest common factor number .

Step-1: Prime Factorization of 47798

Prime factors of 47798 are 2, 23899. Prime factorization of 47798 in exponential form is:

47798 = 2¹ × 23899¹

Step-2: Prime Factorization of 47816

Prime factors of 47816 are 2, 43, 139. Prime factorization of 47816 in exponential form is:

47816 = 2³ × 43¹ × 139¹

Step-3: Factors of 47798

List of positive integer factors of 47798 that divides 47798 without a remainder.

1, 2, 23899

Step-4: Factors of 47816

List of positive integer factors of 47816 that divides 47798 without a remainder.

1, 2, 4, 8, 43, 86, 139, 172, 278, 344, 556, 1112, 5977, 11954, 23908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47798 and 47816. The biggest common factor number is the GCF number.
So the greatest common factor 47798 and 47816 is 2.

Also check out the Least Common Multiple of 47798 and 47816