What is the Greatest Common Factor of 47307 and 47316?

Greatest common factor (GCF) of 47307 and 47316 is 3.

GCF(47307,47316) = 3

We will now calculate the prime factors of 47307 and 47316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47307 and 47316.

How to find the GCF of 47307 and 47316?

We will first find the prime factorization of 47307 and 47316. After we will calculate the factors of 47307 and 47316 and find the biggest common factor number .

Step-1: Prime Factorization of 47307

Prime factors of 47307 are 3, 13, 1213. Prime factorization of 47307 in exponential form is:

47307 = 3¹ × 13¹ × 1213¹

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 47307

List of positive integer factors of 47307 that divides 47307 without a remainder.

1, 3, 13, 39, 1213, 3639, 15769

Step-4: Factors of 47316

List of positive integer factors of 47316 that divides 47307 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 47307 and 47316. The biggest common factor number is the GCF number.
So the greatest common factor 47307 and 47316 is 3.

Also check out the Least Common Multiple of 47307 and 47316