What is the Greatest Common Factor of 73779 and 73785?

Greatest common factor (GCF) of 73779 and 73785 is 3.

GCF(73779,73785) = 3

We will now calculate the prime factors of 73779 and 73785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73779 and 73785.

How to find the GCF of 73779 and 73785?

We will first find the prime factorization of 73779 and 73785. After we will calculate the factors of 73779 and 73785 and find the biggest common factor number .

Step-1: Prime Factorization of 73779

Prime factors of 73779 are 3, 24593. Prime factorization of 73779 in exponential form is:

73779 = 3¹ × 24593¹

Step-2: 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-3: Factors of 73779

List of positive integer factors of 73779 that divides 73779 without a remainder.

1, 3, 24593

Step-4: Factors of 73785

List of positive integer factors of 73785 that divides 73779 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73779 and 73785. The biggest common factor number is the GCF number.
So the greatest common factor 73779 and 73785 is 3.

Also check out the Least Common Multiple of 73779 and 73785