What is the Greatest Common Factor of 47792 and 47804?

Greatest common factor (GCF) of 47792 and 47804 is 4.

GCF(47792,47804) = 4

We will now calculate the prime factors of 47792 and 47804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47792 and 47804.

How to find the GCF of 47792 and 47804?

We will first find the prime factorization of 47792 and 47804. After we will calculate the factors of 47792 and 47804 and find the biggest common factor number .

Step-1: Prime Factorization of 47792

Prime factors of 47792 are 2, 29, 103. Prime factorization of 47792 in exponential form is:

47792 = 2⁴ × 29¹ × 103¹

Step-2: Prime Factorization of 47804

Prime factors of 47804 are 2, 17, 19, 37. Prime factorization of 47804 in exponential form is:

47804 = 2² × 17¹ × 19¹ × 37¹

Step-3: Factors of 47792

List of positive integer factors of 47792 that divides 47792 without a remainder.

1, 2, 4, 8, 16, 29, 58, 103, 116, 206, 232, 412, 464, 824, 1648, 2987, 5974, 11948, 23896

Step-4: Factors of 47804

List of positive integer factors of 47804 that divides 47792 without a remainder.

1, 2, 4, 17, 19, 34, 37, 38, 68, 74, 76, 148, 323, 629, 646, 703, 1258, 1292, 1406, 2516, 2812, 11951, 23902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47792 and 47804. The biggest common factor number is the GCF number.
So the greatest common factor 47792 and 47804 is 4.

Also check out the Least Common Multiple of 47792 and 47804