What is the Greatest Common Factor of 71308 and 71319?

Greatest common factor (GCF) of 71308 and 71319 is 1.

GCF(71308,71319) = 1

We will now calculate the prime factors of 71308 and 71319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71308 and 71319.

How to find the GCF of 71308 and 71319?

We will first find the prime factorization of 71308 and 71319. After we will calculate the factors of 71308 and 71319 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 71319

Prime factors of 71319 are 3, 23773. Prime factorization of 71319 in exponential form is:

71319 = 3¹ × 23773¹

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 71319

List of positive integer factors of 71319 that divides 71308 without a remainder.

1, 3, 23773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71308 and 71319. The biggest common factor number is the GCF number.
So the greatest common factor 71308 and 71319 is 1.

Also check out the Least Common Multiple of 71308 and 71319