What is the Greatest Common Factor of 47464 and 47478?

Greatest common factor (GCF) of 47464 and 47478 is 2.

GCF(47464,47478) = 2

We will now calculate the prime factors of 47464 and 47478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47464 and 47478.

How to find the GCF of 47464 and 47478?

We will first find the prime factorization of 47464 and 47478. After we will calculate the factors of 47464 and 47478 and find the biggest common factor number .

Step-1: Prime Factorization of 47464

Prime factors of 47464 are 2, 17, 349. Prime factorization of 47464 in exponential form is:

47464 = 2³ × 17¹ × 349¹

Step-2: Prime Factorization of 47478

Prime factors of 47478 are 2, 3, 41, 193. Prime factorization of 47478 in exponential form is:

47478 = 2¹ × 3¹ × 41¹ × 193¹

Step-3: Factors of 47464

List of positive integer factors of 47464 that divides 47464 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 349, 698, 1396, 2792, 5933, 11866, 23732

Step-4: Factors of 47478

List of positive integer factors of 47478 that divides 47464 without a remainder.

1, 2, 3, 6, 41, 82, 123, 193, 246, 386, 579, 1158, 7913, 15826, 23739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47464 and 47478. The biggest common factor number is the GCF number.
So the greatest common factor 47464 and 47478 is 2.

Also check out the Least Common Multiple of 47464 and 47478