What is the Greatest Common Factor of 73789 and 73804?

Greatest common factor (GCF) of 73789 and 73804 is 1.

GCF(73789,73804) = 1

We will now calculate the prime factors of 73789 and 73804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73789 and 73804.

How to find the GCF of 73789 and 73804?

We will first find the prime factorization of 73789 and 73804. After we will calculate the factors of 73789 and 73804 and find the biggest common factor number .

Step-1: Prime Factorization of 73789

Prime factors of 73789 are 113, 653. Prime factorization of 73789 in exponential form is:

73789 = 113¹ × 653¹

Step-2: Prime Factorization of 73804

Prime factors of 73804 are 2, 18451. Prime factorization of 73804 in exponential form is:

73804 = 2² × 18451¹

Step-3: Factors of 73789

List of positive integer factors of 73789 that divides 73789 without a remainder.

1, 113, 653

Step-4: Factors of 73804

List of positive integer factors of 73804 that divides 73789 without a remainder.

1, 2, 4, 18451, 36902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73789 and 73804. The biggest common factor number is the GCF number.
So the greatest common factor 73789 and 73804 is 1.

Also check out the Least Common Multiple of 73789 and 73804