What is the Greatest Common Factor of 75366 and 75379?

Greatest common factor (GCF) of 75366 and 75379 is 1.

GCF(75366,75379) = 1

We will now calculate the prime factors of 75366 and 75379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75366 and 75379.

How to find the GCF of 75366 and 75379?

We will first find the prime factorization of 75366 and 75379. After we will calculate the factors of 75366 and 75379 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75379

Prime factors of 75379 are 43, 1753. Prime factorization of 75379 in exponential form is:

75379 = 43¹ × 1753¹

Step-3: Factors of 75366

List of positive integer factors of 75366 that divides 75366 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

Step-4: Factors of 75379

List of positive integer factors of 75379 that divides 75366 without a remainder.

1, 43, 1753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75366 and 75379. The biggest common factor number is the GCF number.
So the greatest common factor 75366 and 75379 is 1.

Also check out the Least Common Multiple of 75366 and 75379