What is the Greatest Common Factor of 47319 and 47323?

Greatest common factor (GCF) of 47319 and 47323 is 1.

GCF(47319,47323) = 1

We will now calculate the prime factors of 47319 and 47323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47319 and 47323.

How to find the GCF of 47319 and 47323?

We will first find the prime factorization of 47319 and 47323. After we will calculate the factors of 47319 and 47323 and find the biggest common factor number .

Step-1: Prime Factorization of 47319

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

47319 = 3¹ × 15773¹

Step-2: Prime Factorization of 47323

Prime factors of 47323 are 37, 1279. Prime factorization of 47323 in exponential form is:

47323 = 37¹ × 1279¹

Step-3: Factors of 47319

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

1, 3, 15773

Step-4: Factors of 47323

List of positive integer factors of 47323 that divides 47319 without a remainder.

1, 37, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47319 and 47323. The biggest common factor number is the GCF number.
So the greatest common factor 47319 and 47323 is 1.

Also check out the Least Common Multiple of 47319 and 47323