What is the Greatest Common Factor of 47439 and 47446?

Greatest common factor (GCF) of 47439 and 47446 is 7.

GCF(47439,47446) = 7

We will now calculate the prime factors of 47439 and 47446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47439 and 47446.

How to find the GCF of 47439 and 47446?

We will first find the prime factorization of 47439 and 47446. After we will calculate the factors of 47439 and 47446 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 47446

Prime factors of 47446 are 2, 7, 3389. Prime factorization of 47446 in exponential form is:

47446 = 2¹ × 7¹ × 3389¹

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 47446

List of positive integer factors of 47446 that divides 47439 without a remainder.

1, 2, 7, 14, 3389, 6778, 23723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47439 and 47446. The biggest common factor number is the GCF number.
So the greatest common factor 47439 and 47446 is 7.

Also check out the Least Common Multiple of 47439 and 47446