What is the Greatest Common Factor of 47648 and 47656?

Greatest common factor (GCF) of 47648 and 47656 is 8.

GCF(47648,47656) = 8

We will now calculate the prime factors of 47648 and 47656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47648 and 47656.

How to find the GCF of 47648 and 47656?

We will first find the prime factorization of 47648 and 47656. After we will calculate the factors of 47648 and 47656 and find the biggest common factor number .

Step-1: Prime Factorization of 47648

Prime factors of 47648 are 2, 1489. Prime factorization of 47648 in exponential form is:

47648 = 2⁵ × 1489¹

Step-2: 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-3: Factors of 47648

List of positive integer factors of 47648 that divides 47648 without a remainder.

1, 2, 4, 8, 16, 32, 1489, 2978, 5956, 11912, 23824

Step-4: Factors of 47656

List of positive integer factors of 47656 that divides 47648 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47648 and 47656. The biggest common factor number is the GCF number.
So the greatest common factor 47648 and 47656 is 8.

Also check out the Least Common Multiple of 47648 and 47656