What is the Greatest Common Factor of 71304 and 71323?

Greatest common factor (GCF) of 71304 and 71323 is 1.

GCF(71304,71323) = 1

We will now calculate the prime factors of 71304 and 71323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71304 and 71323.

How to find the GCF of 71304 and 71323?

We will first find the prime factorization of 71304 and 71323. After we will calculate the factors of 71304 and 71323 and find the biggest common factor number .

Step-1: Prime Factorization of 71304

Prime factors of 71304 are 2, 3, 2971. Prime factorization of 71304 in exponential form is:

71304 = 2³ × 3¹ × 2971¹

Step-2: Prime Factorization of 71323

Prime factors of 71323 are 7, 23, 443. Prime factorization of 71323 in exponential form is:

71323 = 7¹ × 23¹ × 443¹

Step-3: Factors of 71304

List of positive integer factors of 71304 that divides 71304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2971, 5942, 8913, 11884, 17826, 23768, 35652

Step-4: Factors of 71323

List of positive integer factors of 71323 that divides 71304 without a remainder.

1, 7, 23, 161, 443, 3101, 10189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71304 and 71323. The biggest common factor number is the GCF number.
So the greatest common factor 71304 and 71323 is 1.

Also check out the Least Common Multiple of 71304 and 71323