What is the Greatest Common Factor of 75359 and 75366?

Greatest common factor (GCF) of 75359 and 75366 is 1.

GCF(75359,75366) = 1

We will now calculate the prime factors of 75359 and 75366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75359 and 75366.

How to find the GCF of 75359 and 75366?

We will first find the prime factorization of 75359 and 75366. After we will calculate the factors of 75359 and 75366 and find the biggest common factor number .

Step-1: Prime Factorization of 75359

Prime factors of 75359 are 179, 421. Prime factorization of 75359 in exponential form is:

75359 = 179¹ × 421¹

Step-2: Prime Factorization of 75366

Prime factors of 75366 are 2, 3, 53, 79. Prime factorization of 75366 in exponential form is:

75366 = 2¹ × 3² × 53¹ × 79¹

Step-3: Factors of 75359

List of positive integer factors of 75359 that divides 75359 without a remainder.

1, 179, 421

Step-4: Factors of 75366

List of positive integer factors of 75366 that divides 75359 without a remainder.

1, 2, 3, 6, 9, 18, 53, 79, 106, 158, 159, 237, 318, 474, 477, 711, 954, 1422, 4187, 8374, 12561, 25122, 37683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75359 and 75366. The biggest common factor number is the GCF number.
So the greatest common factor 75359 and 75366 is 1.

Also check out the Least Common Multiple of 75359 and 75366