What is the Greatest Common Factor of 75792 and 75809?

Greatest common factor (GCF) of 75792 and 75809 is 1.

GCF(75792,75809) = 1

We will now calculate the prime factors of 75792 and 75809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75792 and 75809.

How to find the GCF of 75792 and 75809?

We will first find the prime factorization of 75792 and 75809. After we will calculate the factors of 75792 and 75809 and find the biggest common factor number .

Step-1: Prime Factorization of 75792

Prime factors of 75792 are 2, 3, 1579. Prime factorization of 75792 in exponential form is:

75792 = 2⁴ × 3¹ × 1579¹

Step-2: Prime Factorization of 75809

Prime factors of 75809 are 41, 43. Prime factorization of 75809 in exponential form is:

75809 = 41¹ × 43²

Step-3: Factors of 75792

List of positive integer factors of 75792 that divides 75792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1579, 3158, 4737, 6316, 9474, 12632, 18948, 25264, 37896

Step-4: Factors of 75809

List of positive integer factors of 75809 that divides 75792 without a remainder.

1, 41, 43, 1763, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75792 and 75809. The biggest common factor number is the GCF number.
So the greatest common factor 75792 and 75809 is 1.

Also check out the Least Common Multiple of 75792 and 75809