What is the Greatest Common Factor of 47656 and 47675?

Greatest common factor (GCF) of 47656 and 47675 is 1.

GCF(47656,47675) = 1

We will now calculate the prime factors of 47656 and 47675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47656 and 47675.

How to find the GCF of 47656 and 47675?

We will first find the prime factorization of 47656 and 47675. After we will calculate the factors of 47656 and 47675 and find the biggest common factor number .

Step-1: Prime Factorization of 47656

Prime factors of 47656 are 2, 7, 23, 37. Prime factorization of 47656 in exponential form is:

47656 = 2³ × 7¹ × 23¹ × 37¹

Step-2: Prime Factorization of 47675

Prime factors of 47675 are 5, 1907. Prime factorization of 47675 in exponential form is:

47675 = 5² × 1907¹

Step-3: Factors of 47656

List of positive integer factors of 47656 that divides 47656 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 37, 46, 56, 74, 92, 148, 161, 184, 259, 296, 322, 518, 644, 851, 1036, 1288, 1702, 2072, 3404, 5957, 6808, 11914, 23828

Step-4: Factors of 47675

List of positive integer factors of 47675 that divides 47656 without a remainder.

1, 5, 25, 1907, 9535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47656 and 47675. The biggest common factor number is the GCF number.
So the greatest common factor 47656 and 47675 is 1.

Also check out the Least Common Multiple of 47656 and 47675