What is the Greatest Common Factor of 40965 and 40977?

Greatest common factor (GCF) of 40965 and 40977 is 3.

GCF(40965,40977) = 3

We will now calculate the prime factors of 40965 and 40977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40965 and 40977.

How to find the GCF of 40965 and 40977?

We will first find the prime factorization of 40965 and 40977. After we will calculate the factors of 40965 and 40977 and find the biggest common factor number .

Step-1: Prime Factorization of 40965

Prime factors of 40965 are 3, 5, 2731. Prime factorization of 40965 in exponential form is:

40965 = 3¹ × 5¹ × 2731¹

Step-2: Prime Factorization of 40977

Prime factors of 40977 are 3, 29, 157. Prime factorization of 40977 in exponential form is:

40977 = 3² × 29¹ × 157¹

Step-3: Factors of 40965

List of positive integer factors of 40965 that divides 40965 without a remainder.

1, 3, 5, 15, 2731, 8193, 13655

Step-4: Factors of 40977

List of positive integer factors of 40977 that divides 40965 without a remainder.

1, 3, 9, 29, 87, 157, 261, 471, 1413, 4553, 13659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40965 and 40977. The biggest common factor number is the GCF number.
So the greatest common factor 40965 and 40977 is 3.

Also check out the Least Common Multiple of 40965 and 40977