What is the Greatest Common Factor of 47649 and 47656?

Greatest common factor (GCF) of 47649 and 47656 is 7.

GCF(47649,47656) = 7

We will now calculate the prime factors of 47649 and 47656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47649 and 47656.

How to find the GCF of 47649 and 47656?

We will first find the prime factorization of 47649 and 47656. After we will calculate the factors of 47649 and 47656 and find the biggest common factor number .

Step-1: Prime Factorization of 47649

Prime factors of 47649 are 3, 7, 2269. Prime factorization of 47649 in exponential form is:

47649 = 3¹ × 7¹ × 2269¹

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 47649

List of positive integer factors of 47649 that divides 47649 without a remainder.

1, 3, 7, 21, 2269, 6807, 15883

Step-4: Factors of 47656

List of positive integer factors of 47656 that divides 47649 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 47649 and 47656. The biggest common factor number is the GCF number.
So the greatest common factor 47649 and 47656 is 7.

Also check out the Least Common Multiple of 47649 and 47656