What is the Greatest Common Factor of 47439 and 47457?

Greatest common factor (GCF) of 47439 and 47457 is 9.

GCF(47439,47457) = 9

We will now calculate the prime factors of 47439 and 47457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47439 and 47457.

How to find the GCF of 47439 and 47457?

We will first find the prime factorization of 47439 and 47457. After we will calculate the factors of 47439 and 47457 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 47457

Prime factors of 47457 are 3, 5273. Prime factorization of 47457 in exponential form is:

47457 = 3² × 5273¹

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 47457

List of positive integer factors of 47457 that divides 47439 without a remainder.

1, 3, 9, 5273, 15819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47439 and 47457. The biggest common factor number is the GCF number.
So the greatest common factor 47439 and 47457 is 9.

Also check out the Least Common Multiple of 47439 and 47457