What is the Greatest Common Factor of 47313 and 47323?

Greatest common factor (GCF) of 47313 and 47323 is 1.

GCF(47313,47323) = 1

We will now calculate the prime factors of 47313 and 47323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47313 and 47323.

How to find the GCF of 47313 and 47323?

We will first find the prime factorization of 47313 and 47323. After we will calculate the factors of 47313 and 47323 and find the biggest common factor number .

Step-1: Prime Factorization of 47313

Prime factors of 47313 are 3, 7, 751. Prime factorization of 47313 in exponential form is:

47313 = 3² × 7¹ × 751¹

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 47313

List of positive integer factors of 47313 that divides 47313 without a remainder.

1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771

Step-4: Factors of 47323

List of positive integer factors of 47323 that divides 47313 without a remainder.

1, 37, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47313 and 47323. The biggest common factor number is the GCF number.
So the greatest common factor 47313 and 47323 is 1.

Also check out the Least Common Multiple of 47313 and 47323