What is the Greatest Common Factor of 47454 and 47466?

Greatest common factor (GCF) of 47454 and 47466 is 6.

GCF(47454,47466) = 6

We will now calculate the prime factors of 47454 and 47466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47454 and 47466.

How to find the GCF of 47454 and 47466?

We will first find the prime factorization of 47454 and 47466. After we will calculate the factors of 47454 and 47466 and find the biggest common factor number .

Step-1: Prime Factorization of 47454

Prime factors of 47454 are 2, 3, 11, 719. Prime factorization of 47454 in exponential form is:

47454 = 2¹ × 3¹ × 11¹ × 719¹

Step-2: 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-3: Factors of 47454

List of positive integer factors of 47454 that divides 47454 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 719, 1438, 2157, 4314, 7909, 15818, 23727

Step-4: Factors of 47466

List of positive integer factors of 47466 that divides 47454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47454 and 47466. The biggest common factor number is the GCF number.
So the greatest common factor 47454 and 47466 is 6.

Also check out the Least Common Multiple of 47454 and 47466