What is the Greatest Common Factor of 47289 and 47300?

Greatest common factor (GCF) of 47289 and 47300 is 11.

GCF(47289,47300) = 11

We will now calculate the prime factors of 47289 and 47300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47300.

How to find the GCF of 47289 and 47300?

We will first find the prime factorization of 47289 and 47300. After we will calculate the factors of 47289 and 47300 and find the biggest common factor number .

Step-1: Prime Factorization of 47289

Prime factors of 47289 are 3, 11, 1433. Prime factorization of 47289 in exponential form is:

47289 = 3¹ × 11¹ × 1433¹

Step-2: 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-3: Factors of 47289

List of positive integer factors of 47289 that divides 47289 without a remainder.

1, 3, 11, 33, 1433, 4299, 15763

Step-4: Factors of 47300

List of positive integer factors of 47300 that divides 47289 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47300. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47300 is 11.

Also check out the Least Common Multiple of 47289 and 47300