What is the Greatest Common Factor of 71314 and 71328?

Greatest common factor (GCF) of 71314 and 71328 is 2.

GCF(71314,71328) = 2

We will now calculate the prime factors of 71314 and 71328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71314 and 71328.

How to find the GCF of 71314 and 71328?

We will first find the prime factorization of 71314 and 71328. After we will calculate the factors of 71314 and 71328 and find the biggest common factor number .

Step-1: Prime Factorization of 71314

Prime factors of 71314 are 2, 181, 197. Prime factorization of 71314 in exponential form is:

71314 = 2¹ × 181¹ × 197¹

Step-2: Prime Factorization of 71328

Prime factors of 71328 are 2, 3, 743. Prime factorization of 71328 in exponential form is:

71328 = 2⁵ × 3¹ × 743¹

Step-3: Factors of 71314

List of positive integer factors of 71314 that divides 71314 without a remainder.

1, 2, 181, 197, 362, 394, 35657

Step-4: Factors of 71328

List of positive integer factors of 71328 that divides 71314 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 743, 1486, 2229, 2972, 4458, 5944, 8916, 11888, 17832, 23776, 35664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71314 and 71328. The biggest common factor number is the GCF number.
So the greatest common factor 71314 and 71328 is 2.

Also check out the Least Common Multiple of 71314 and 71328