What is the Greatest Common Factor of 47300 and 47311?

Greatest common factor (GCF) of 47300 and 47311 is 11.

GCF(47300,47311) = 11

We will now calculate the prime factors of 47300 and 47311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47300 and 47311.

How to find the GCF of 47300 and 47311?

We will first find the prime factorization of 47300 and 47311. After we will calculate the factors of 47300 and 47311 and find the biggest common factor number .

Step-1: Prime Factorization of 47300

Prime factors of 47300 are 2, 5, 11, 43. Prime factorization of 47300 in exponential form is:

47300 = 2² × 5² × 11¹ × 43¹

Step-2: Prime Factorization of 47311

Prime factors of 47311 are 11, 17, 23. Prime factorization of 47311 in exponential form is:

47311 = 11² × 17¹ × 23¹

Step-3: Factors of 47300

List of positive integer factors of 47300 that divides 47300 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 43, 44, 50, 55, 86, 100, 110, 172, 215, 220, 275, 430, 473, 550, 860, 946, 1075, 1100, 1892, 2150, 2365, 4300, 4730, 9460, 11825, 23650

Step-4: Factors of 47311

List of positive integer factors of 47311 that divides 47300 without a remainder.

1, 11, 17, 23, 121, 187, 253, 391, 2057, 2783, 4301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47300 and 47311. The biggest common factor number is the GCF number.
So the greatest common factor 47300 and 47311 is 11.

Also check out the Least Common Multiple of 47300 and 47311