What is the Greatest Common Factor of 71312 and 71328?

Greatest common factor (GCF) of 71312 and 71328 is 16.

GCF(71312,71328) = 16

We will now calculate the prime factors of 71312 and 71328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71312 and 71328.

How to find the GCF of 71312 and 71328?

We will first find the prime factorization of 71312 and 71328. After we will calculate the factors of 71312 and 71328 and find the biggest common factor number .

Step-1: Prime Factorization of 71312

Prime factors of 71312 are 2, 4457. Prime factorization of 71312 in exponential form is:

71312 = 2⁴ × 4457¹

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 71312

List of positive integer factors of 71312 that divides 71312 without a remainder.

1, 2, 4, 8, 16, 4457, 8914, 17828, 35656

Step-4: Factors of 71328

List of positive integer factors of 71328 that divides 71312 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 71312 and 71328. The biggest common factor number is the GCF number.
So the greatest common factor 71312 and 71328 is 16.

Also check out the Least Common Multiple of 71312 and 71328