What is the Greatest Common Factor of 47289 and 47299?

Greatest common factor (GCF) of 47289 and 47299 is 1.

GCF(47289,47299) = 1

We will now calculate the prime factors of 47289 and 47299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47289 and 47299.

How to find the GCF of 47289 and 47299?

We will first find the prime factorization of 47289 and 47299. After we will calculate the factors of 47289 and 47299 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 47299

Prime factors of 47299 are 7, 29, 233. Prime factorization of 47299 in exponential form is:

47299 = 7¹ × 29¹ × 233¹

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 47299

List of positive integer factors of 47299 that divides 47289 without a remainder.

1, 7, 29, 203, 233, 1631, 6757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47289 and 47299. The biggest common factor number is the GCF number.
So the greatest common factor 47289 and 47299 is 1.

Also check out the Least Common Multiple of 47289 and 47299