What is the Greatest Common Factor of 71308 and 71323?

Greatest common factor (GCF) of 71308 and 71323 is 1.

GCF(71308,71323) = 1

We will now calculate the prime factors of 71308 and 71323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71308 and 71323.

How to find the GCF of 71308 and 71323?

We will first find the prime factorization of 71308 and 71323. After we will calculate the factors of 71308 and 71323 and find the biggest common factor number .

Step-1: Prime Factorization of 71308

Prime factors of 71308 are 2, 17827. Prime factorization of 71308 in exponential form is:

71308 = 2² × 17827¹

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 71308

List of positive integer factors of 71308 that divides 71308 without a remainder.

1, 2, 4, 17827, 35654

Step-4: Factors of 71323

List of positive integer factors of 71323 that divides 71308 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71308 and 71323. The biggest common factor number is the GCF number.
So the greatest common factor 71308 and 71323 is 1.

Also check out the Least Common Multiple of 71308 and 71323