What is the Greatest Common Factor of 47772 and 47792?

Greatest common factor (GCF) of 47772 and 47792 is 4.

GCF(47772,47792) = 4

We will now calculate the prime factors of 47772 and 47792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47772 and 47792.

How to find the GCF of 47772 and 47792?

We will first find the prime factorization of 47772 and 47792. After we will calculate the factors of 47772 and 47792 and find the biggest common factor number .

Step-1: Prime Factorization of 47772

Prime factors of 47772 are 2, 3, 1327. Prime factorization of 47772 in exponential form is:

47772 = 2² × 3² × 1327¹

Step-2: 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-3: Factors of 47772

List of positive integer factors of 47772 that divides 47772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1327, 2654, 3981, 5308, 7962, 11943, 15924, 23886

Step-4: Factors of 47792

List of positive integer factors of 47792 that divides 47772 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47772 and 47792. The biggest common factor number is the GCF number.
So the greatest common factor 47772 and 47792 is 4.

Also check out the Least Common Multiple of 47772 and 47792