What is the Greatest Common Factor of 75904 and 75923?

Greatest common factor (GCF) of 75904 and 75923 is 1.

GCF(75904,75923) = 1

We will now calculate the prime factors of 75904 and 75923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75904 and 75923.

How to find the GCF of 75904 and 75923?

We will first find the prime factorization of 75904 and 75923. After we will calculate the factors of 75904 and 75923 and find the biggest common factor number .

Step-1: Prime Factorization of 75904

Prime factors of 75904 are 2, 593. Prime factorization of 75904 in exponential form is:

75904 = 2⁷ × 593¹

Step-2: Prime Factorization of 75923

Prime factors of 75923 are 23, 3301. Prime factorization of 75923 in exponential form is:

75923 = 23¹ × 3301¹

Step-3: Factors of 75904

List of positive integer factors of 75904 that divides 75904 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 593, 1186, 2372, 4744, 9488, 18976, 37952

Step-4: Factors of 75923

List of positive integer factors of 75923 that divides 75904 without a remainder.

1, 23, 3301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75904 and 75923. The biggest common factor number is the GCF number.
So the greatest common factor 75904 and 75923 is 1.

Also check out the Least Common Multiple of 75904 and 75923