What is the Greatest Common Factor of 47307 and 47319?

Greatest common factor (GCF) of 47307 and 47319 is 3.

GCF(47307,47319) = 3

We will now calculate the prime factors of 47307 and 47319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47307 and 47319.

How to find the GCF of 47307 and 47319?

We will first find the prime factorization of 47307 and 47319. After we will calculate the factors of 47307 and 47319 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 47319

Prime factors of 47319 are 3, 15773. Prime factorization of 47319 in exponential form is:

47319 = 3¹ × 15773¹

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 47319

List of positive integer factors of 47319 that divides 47307 without a remainder.

1, 3, 15773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47307 and 47319. The biggest common factor number is the GCF number.
So the greatest common factor 47307 and 47319 is 3.

Also check out the Least Common Multiple of 47307 and 47319