What is the Greatest Common Factor of 73792 and 73809?

Greatest common factor (GCF) of 73792 and 73809 is 1.

GCF(73792,73809) = 1

We will now calculate the prime factors of 73792 and 73809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73792 and 73809.

How to find the GCF of 73792 and 73809?

We will first find the prime factorization of 73792 and 73809. After we will calculate the factors of 73792 and 73809 and find the biggest common factor number .

Step-1: Prime Factorization of 73792

Prime factors of 73792 are 2, 1153. Prime factorization of 73792 in exponential form is:

73792 = 2⁶ × 1153¹

Step-2: Prime Factorization of 73809

Prime factors of 73809 are 3, 59, 139. Prime factorization of 73809 in exponential form is:

73809 = 3² × 59¹ × 139¹

Step-3: Factors of 73792

List of positive integer factors of 73792 that divides 73792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1153, 2306, 4612, 9224, 18448, 36896

Step-4: Factors of 73809

List of positive integer factors of 73809 that divides 73792 without a remainder.

1, 3, 9, 59, 139, 177, 417, 531, 1251, 8201, 24603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73792 and 73809. The biggest common factor number is the GCF number.
So the greatest common factor 73792 and 73809 is 1.

Also check out the Least Common Multiple of 73792 and 73809