What is the Greatest Common Factor of 47439 and 47449?

Greatest common factor (GCF) of 47439 and 47449 is 1.

GCF(47439,47449) = 1

We will now calculate the prime factors of 47439 and 47449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47439 and 47449.

How to find the GCF of 47439 and 47449?

We will first find the prime factorization of 47439 and 47449. After we will calculate the factors of 47439 and 47449 and find the biggest common factor number .

Step-1: Prime Factorization of 47439

Prime factors of 47439 are 3, 7, 251. Prime factorization of 47439 in exponential form is:

47439 = 3³ × 7¹ × 251¹

Step-2: Prime Factorization of 47449

Prime factors of 47449 are 23, 2063. Prime factorization of 47449 in exponential form is:

47449 = 23¹ × 2063¹

Step-3: Factors of 47439

List of positive integer factors of 47439 that divides 47439 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 251, 753, 1757, 2259, 5271, 6777, 15813

Step-4: Factors of 47449

List of positive integer factors of 47449 that divides 47439 without a remainder.

1, 23, 2063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47439 and 47449. The biggest common factor number is the GCF number.
So the greatest common factor 47439 and 47449 is 1.

Also check out the Least Common Multiple of 47439 and 47449