What is the Greatest Common Factor of 40876 and 40884?

Greatest common factor (GCF) of 40876 and 40884 is 4.

GCF(40876,40884) = 4

We will now calculate the prime factors of 40876 and 40884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40876 and 40884.

How to find the GCF of 40876 and 40884?

We will first find the prime factorization of 40876 and 40884. After we will calculate the factors of 40876 and 40884 and find the biggest common factor number .

Step-1: Prime Factorization of 40876

Prime factors of 40876 are 2, 11, 929. Prime factorization of 40876 in exponential form is:

40876 = 2² × 11¹ × 929¹

Step-2: Prime Factorization of 40884

Prime factors of 40884 are 2, 3, 3407. Prime factorization of 40884 in exponential form is:

40884 = 2² × 3¹ × 3407¹

Step-3: Factors of 40876

List of positive integer factors of 40876 that divides 40876 without a remainder.

1, 2, 4, 11, 22, 44, 929, 1858, 3716, 10219, 20438

Step-4: Factors of 40884

List of positive integer factors of 40884 that divides 40876 without a remainder.

1, 2, 3, 4, 6, 12, 3407, 6814, 10221, 13628, 20442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40876 and 40884. The biggest common factor number is the GCF number.
So the greatest common factor 40876 and 40884 is 4.

Also check out the Least Common Multiple of 40876 and 40884