What is the Greatest Common Factor of 71308 and 71326?

Greatest common factor (GCF) of 71308 and 71326 is 2.

GCF(71308,71326) = 2

We will now calculate the prime factors of 71308 and 71326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71308 and 71326.

How to find the GCF of 71308 and 71326?

We will first find the prime factorization of 71308 and 71326. After we will calculate the factors of 71308 and 71326 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 71326

Prime factors of 71326 are 2, 19, 1877. Prime factorization of 71326 in exponential form is:

71326 = 2¹ × 19¹ × 1877¹

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 71326

List of positive integer factors of 71326 that divides 71308 without a remainder.

1, 2, 19, 38, 1877, 3754, 35663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71308 and 71326. The biggest common factor number is the GCF number.
So the greatest common factor 71308 and 71326 is 2.

Also check out the Least Common Multiple of 71308 and 71326