What is the Greatest Common Factor of 47298 and 47316?

Greatest common factor (GCF) of 47298 and 47316 is 6.

GCF(47298,47316) = 6

We will now calculate the prime factors of 47298 and 47316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47298 and 47316.

How to find the GCF of 47298 and 47316?

We will first find the prime factorization of 47298 and 47316. After we will calculate the factors of 47298 and 47316 and find the biggest common factor number .

Step-1: Prime Factorization of 47298

Prime factors of 47298 are 2, 3, 7883. Prime factorization of 47298 in exponential form is:

47298 = 2¹ × 3¹ × 7883¹

Step-2: Prime Factorization of 47316

Prime factors of 47316 are 2, 3, 3943. Prime factorization of 47316 in exponential form is:

47316 = 2² × 3¹ × 3943¹

Step-3: Factors of 47298

List of positive integer factors of 47298 that divides 47298 without a remainder.

1, 2, 3, 6, 7883, 15766, 23649

Step-4: Factors of 47316

List of positive integer factors of 47316 that divides 47298 without a remainder.

1, 2, 3, 4, 6, 12, 3943, 7886, 11829, 15772, 23658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47298 and 47316. The biggest common factor number is the GCF number.
So the greatest common factor 47298 and 47316 is 6.

Also check out the Least Common Multiple of 47298 and 47316