What is the Greatest Common Factor of 47466 and 47479?

Greatest common factor (GCF) of 47466 and 47479 is 1.

GCF(47466,47479) = 1

We will now calculate the prime factors of 47466 and 47479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47466 and 47479.

How to find the GCF of 47466 and 47479?

We will first find the prime factorization of 47466 and 47479. After we will calculate the factors of 47466 and 47479 and find the biggest common factor number .

Step-1: Prime Factorization of 47466

Prime factors of 47466 are 2, 3, 293. Prime factorization of 47466 in exponential form is:

47466 = 2¹ × 3⁴ × 293¹

Step-2: Prime Factorization of 47479

Prime factors of 47479 are 79, 601. Prime factorization of 47479 in exponential form is:

47479 = 79¹ × 601¹

Step-3: Factors of 47466

List of positive integer factors of 47466 that divides 47466 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 293, 586, 879, 1758, 2637, 5274, 7911, 15822, 23733

Step-4: Factors of 47479

List of positive integer factors of 47479 that divides 47466 without a remainder.

1, 79, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47466 and 47479. The biggest common factor number is the GCF number.
So the greatest common factor 47466 and 47479 is 1.

Also check out the Least Common Multiple of 47466 and 47479