What is the Greatest Common Factor of 47307 and 47321?

Greatest common factor (GCF) of 47307 and 47321 is 1.

GCF(47307,47321) = 1

We will now calculate the prime factors of 47307 and 47321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47307 and 47321.

How to find the GCF of 47307 and 47321?

We will first find the prime factorization of 47307 and 47321. After we will calculate the factors of 47307 and 47321 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 47321

Prime factors of 47321 are 79, 599. Prime factorization of 47321 in exponential form is:

47321 = 79¹ × 599¹

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 47321

List of positive integer factors of 47321 that divides 47307 without a remainder.

1, 79, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47307 and 47321. The biggest common factor number is the GCF number.
So the greatest common factor 47307 and 47321 is 1.

Also check out the Least Common Multiple of 47307 and 47321