What is the Greatest Common Factor of 71328 and 71332?

Greatest common factor (GCF) of 71328 and 71332 is 4.

GCF(71328,71332) = 4

We will now calculate the prime factors of 71328 and 71332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71328 and 71332.

How to find the GCF of 71328 and 71332?

We will first find the prime factorization of 71328 and 71332. After we will calculate the factors of 71328 and 71332 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71332

Prime factors of 71332 are 2, 17, 1049. Prime factorization of 71332 in exponential form is:

71332 = 2² × 17¹ × 1049¹

Step-3: Factors of 71328

List of positive integer factors of 71328 that divides 71328 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

Step-4: Factors of 71332

List of positive integer factors of 71332 that divides 71328 without a remainder.

1, 2, 4, 17, 34, 68, 1049, 2098, 4196, 17833, 35666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71328 and 71332. The biggest common factor number is the GCF number.
So the greatest common factor 71328 and 71332 is 4.

Also check out the Least Common Multiple of 71328 and 71332