What is the Greatest Common Factor of 73785 and 73797?

Greatest common factor (GCF) of 73785 and 73797 is 3.

GCF(73785,73797) = 3

We will now calculate the prime factors of 73785 and 73797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73785 and 73797.

How to find the GCF of 73785 and 73797?

We will first find the prime factorization of 73785 and 73797. After we will calculate the factors of 73785 and 73797 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 73797

Prime factors of 73797 are 3, 17, 1447. Prime factorization of 73797 in exponential form is:

73797 = 3¹ × 17¹ × 1447¹

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 73797

List of positive integer factors of 73797 that divides 73785 without a remainder.

1, 3, 17, 51, 1447, 4341, 24599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73785 and 73797. The biggest common factor number is the GCF number.
So the greatest common factor 73785 and 73797 is 3.

Also check out the Least Common Multiple of 73785 and 73797