What is the Greatest Common Factor of 47916 and 47936?

Greatest common factor (GCF) of 47916 and 47936 is 4.

GCF(47916,47936) = 4

We will now calculate the prime factors of 47916 and 47936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47916 and 47936.

How to find the GCF of 47916 and 47936?

We will first find the prime factorization of 47916 and 47936. After we will calculate the factors of 47916 and 47936 and find the biggest common factor number .

Step-1: Prime Factorization of 47916

Prime factors of 47916 are 2, 3, 11. Prime factorization of 47916 in exponential form is:

47916 = 2² × 3² × 11³

Step-2: Prime Factorization of 47936

Prime factors of 47936 are 2, 7, 107. Prime factorization of 47936 in exponential form is:

47936 = 2⁶ × 7¹ × 107¹

Step-3: Factors of 47916

List of positive integer factors of 47916 that divides 47916 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1331, 1452, 2178, 2662, 3993, 4356, 5324, 7986, 11979, 15972, 23958

Step-4: Factors of 47936

List of positive integer factors of 47936 that divides 47916 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 107, 112, 214, 224, 428, 448, 749, 856, 1498, 1712, 2996, 3424, 5992, 6848, 11984, 23968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47916 and 47936. The biggest common factor number is the GCF number.
So the greatest common factor 47916 and 47936 is 4.

Also check out the Least Common Multiple of 47916 and 47936