What is the Greatest Common Factor of 7785 and 7797?

Greatest common factor (GCF) of 7785 and 7797 is 3.

GCF(7785,7797) = 3

We will now calculate the prime factors of 7785 and 7797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7785 and 7797.

How to find the GCF of 7785 and 7797?

We will first find the prime factorization of 7785 and 7797. After we will calculate the factors of 7785 and 7797 and find the biggest common factor number .

Step-1: Prime Factorization of 7785

Prime factors of 7785 are 3, 5, 173. Prime factorization of 7785 in exponential form is:

7785 = 3² × 5¹ × 173¹

Step-2: Prime Factorization of 7797

Prime factors of 7797 are 3, 23, 113. Prime factorization of 7797 in exponential form is:

7797 = 3¹ × 23¹ × 113¹

Step-3: Factors of 7785

List of positive integer factors of 7785 that divides 7785 without a remainder.

1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595

Step-4: Factors of 7797

List of positive integer factors of 7797 that divides 7785 without a remainder.

1, 3, 23, 69, 113, 339, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7785 and 7797. The biggest common factor number is the GCF number.
So the greatest common factor 7785 and 7797 is 3.

Also check out the Least Common Multiple of 7785 and 7797