What is the Greatest Common Factor of 75311 and 75328?

Greatest common factor (GCF) of 75311 and 75328 is 1.

GCF(75311,75328) = 1

We will now calculate the prime factors of 75311 and 75328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75311 and 75328.

How to find the GCF of 75311 and 75328?

We will first find the prime factorization of 75311 and 75328. After we will calculate the factors of 75311 and 75328 and find the biggest common factor number .

Step-1: Prime Factorization of 75311

Prime factors of 75311 are 127, 593. Prime factorization of 75311 in exponential form is:

75311 = 127¹ × 593¹

Step-2: Prime Factorization of 75328

Prime factors of 75328 are 2, 11, 107. Prime factorization of 75328 in exponential form is:

75328 = 2⁶ × 11¹ × 107¹

Step-3: Factors of 75311

List of positive integer factors of 75311 that divides 75311 without a remainder.

1, 127, 593

Step-4: Factors of 75328

List of positive integer factors of 75328 that divides 75311 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 107, 176, 214, 352, 428, 704, 856, 1177, 1712, 2354, 3424, 4708, 6848, 9416, 18832, 37664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75311 and 75328. The biggest common factor number is the GCF number.
So the greatest common factor 75311 and 75328 is 1.

Also check out the Least Common Multiple of 75311 and 75328