What is the Greatest Common Factor of 47289 and 47295?

Greatest common factor (GCF) of 47289 and 47295 is 3.

GCF(47289,47295) = 3

We will now calculate the prime factors of 47289 and 47295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47295.

How to find the GCF of 47289 and 47295?

We will first find the prime factorization of 47289 and 47295. After we will calculate the factors of 47289 and 47295 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 47295

Prime factors of 47295 are 3, 5, 1051. Prime factorization of 47295 in exponential form is:

47295 = 3² × 5¹ × 1051¹

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 47295

List of positive integer factors of 47295 that divides 47289 without a remainder.

1, 3, 5, 9, 15, 45, 1051, 3153, 5255, 9459, 15765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47295. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47295 is 3.

Also check out the Least Common Multiple of 47289 and 47295