What is the Greatest Common Factor of 40776 and 40791?

Greatest common factor (GCF) of 40776 and 40791 is 3.

GCF(40776,40791) = 3

We will now calculate the prime factors of 40776 and 40791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40776 and 40791.

How to find the GCF of 40776 and 40791?

We will first find the prime factorization of 40776 and 40791. After we will calculate the factors of 40776 and 40791 and find the biggest common factor number .

Step-1: Prime Factorization of 40776

Prime factors of 40776 are 2, 3, 1699. Prime factorization of 40776 in exponential form is:

40776 = 2³ × 3¹ × 1699¹

Step-2: Prime Factorization of 40791

Prime factors of 40791 are 3, 13597. Prime factorization of 40791 in exponential form is:

40791 = 3¹ × 13597¹

Step-3: Factors of 40776

List of positive integer factors of 40776 that divides 40776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1699, 3398, 5097, 6796, 10194, 13592, 20388

Step-4: Factors of 40791

List of positive integer factors of 40791 that divides 40776 without a remainder.

1, 3, 13597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40776 and 40791. The biggest common factor number is the GCF number.
So the greatest common factor 40776 and 40791 is 3.

Also check out the Least Common Multiple of 40776 and 40791