What is the Greatest Common Factor of 40977 and 40983?

Greatest common factor (GCF) of 40977 and 40983 is 3.

GCF(40977,40983) = 3

We will now calculate the prime factors of 40977 and 40983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40977 and 40983.

How to find the GCF of 40977 and 40983?

We will first find the prime factorization of 40977 and 40983. After we will calculate the factors of 40977 and 40983 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40983

Prime factors of 40983 are 3, 19, 719. Prime factorization of 40983 in exponential form is:

40983 = 3¹ × 19¹ × 719¹

Step-3: Factors of 40977

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

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

Step-4: Factors of 40983

List of positive integer factors of 40983 that divides 40977 without a remainder.

1, 3, 19, 57, 719, 2157, 13661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40977 and 40983. The biggest common factor number is the GCF number.
So the greatest common factor 40977 and 40983 is 3.

Also check out the Least Common Multiple of 40977 and 40983