What is the Greatest Common Factor of 73785 and 73804?

Greatest common factor (GCF) of 73785 and 73804 is 1.

GCF(73785,73804) = 1

We will now calculate the prime factors of 73785 and 73804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73785 and 73804.

How to find the GCF of 73785 and 73804?

We will first find the prime factorization of 73785 and 73804. After we will calculate the factors of 73785 and 73804 and find the biggest common factor number .

Step-1: Prime Factorization of 73785

Prime factors of 73785 are 3, 5, 4919. Prime factorization of 73785 in exponential form is:

73785 = 3¹ × 5¹ × 4919¹

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 73785

List of positive integer factors of 73785 that divides 73785 without a remainder.

1, 3, 5, 15, 4919, 14757, 24595

Step-4: Factors of 73804

List of positive integer factors of 73804 that divides 73785 without a remainder.

1, 2, 4, 18451, 36902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73785 and 73804. The biggest common factor number is the GCF number.
So the greatest common factor 73785 and 73804 is 1.

Also check out the Least Common Multiple of 73785 and 73804