What is the Greatest Common Factor of 73782 and 73791?

Greatest common factor (GCF) of 73782 and 73791 is 9.

GCF(73782,73791) = 9

We will now calculate the prime factors of 73782 and 73791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73782 and 73791.

How to find the GCF of 73782 and 73791?

We will first find the prime factorization of 73782 and 73791. After we will calculate the factors of 73782 and 73791 and find the biggest common factor number .

Step-1: Prime Factorization of 73782

Prime factors of 73782 are 2, 3, 4099. Prime factorization of 73782 in exponential form is:

73782 = 2¹ × 3² × 4099¹

Step-2: Prime Factorization of 73791

Prime factors of 73791 are 3, 911. Prime factorization of 73791 in exponential form is:

73791 = 3⁴ × 911¹

Step-3: Factors of 73782

List of positive integer factors of 73782 that divides 73782 without a remainder.

1, 2, 3, 6, 9, 18, 4099, 8198, 12297, 24594, 36891

Step-4: Factors of 73791

List of positive integer factors of 73791 that divides 73782 without a remainder.

1, 3, 9, 27, 81, 911, 2733, 8199, 24597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73782 and 73791. The biggest common factor number is the GCF number.
So the greatest common factor 73782 and 73791 is 9.

Also check out the Least Common Multiple of 73782 and 73791