What is the Greatest Common Factor of 47289 and 47307?

Greatest common factor (GCF) of 47289 and 47307 is 3.

GCF(47289,47307) = 3

We will now calculate the prime factors of 47289 and 47307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47307.

How to find the GCF of 47289 and 47307?

We will first find the prime factorization of 47289 and 47307. After we will calculate the factors of 47289 and 47307 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 47307

Prime factors of 47307 are 3, 13, 1213. Prime factorization of 47307 in exponential form is:

47307 = 3¹ × 13¹ × 1213¹

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 47307

List of positive integer factors of 47307 that divides 47289 without a remainder.

1, 3, 13, 39, 1213, 3639, 15769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47307. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47307 is 3.

Also check out the Least Common Multiple of 47289 and 47307