What is the Greatest Common Factor of 47307 and 47322?

Greatest common factor (GCF) of 47307 and 47322 is 3.

GCF(47307,47322) = 3

We will now calculate the prime factors of 47307 and 47322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47307 and 47322.

How to find the GCF of 47307 and 47322?

We will first find the prime factorization of 47307 and 47322. After we will calculate the factors of 47307 and 47322 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 47322

Prime factors of 47322 are 2, 3, 11, 239. Prime factorization of 47322 in exponential form is:

47322 = 2¹ × 3² × 11¹ × 239¹

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 47322

List of positive integer factors of 47322 that divides 47307 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47307 and 47322. The biggest common factor number is the GCF number.
So the greatest common factor 47307 and 47322 is 3.

Also check out the Least Common Multiple of 47307 and 47322