What is the Greatest Common Factor of 47310 and 47323?

Greatest common factor (GCF) of 47310 and 47323 is 1.

GCF(47310,47323) = 1

We will now calculate the prime factors of 47310 and 47323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47310 and 47323.

How to find the GCF of 47310 and 47323?

We will first find the prime factorization of 47310 and 47323. After we will calculate the factors of 47310 and 47323 and find the biggest common factor number .

Step-1: Prime Factorization of 47310

Prime factors of 47310 are 2, 3, 5, 19, 83. Prime factorization of 47310 in exponential form is:

47310 = 2¹ × 3¹ × 5¹ × 19¹ × 83¹

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 47310

List of positive integer factors of 47310 that divides 47310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 83, 95, 114, 166, 190, 249, 285, 415, 498, 570, 830, 1245, 1577, 2490, 3154, 4731, 7885, 9462, 15770, 23655

Step-4: Factors of 47323

List of positive integer factors of 47323 that divides 47310 without a remainder.

1, 37, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47310 and 47323. The biggest common factor number is the GCF number.
So the greatest common factor 47310 and 47323 is 1.

Also check out the Least Common Multiple of 47310 and 47323