What is the Greatest Common Factor of 40874 and 40892?

Greatest common factor (GCF) of 40874 and 40892 is 2.

GCF(40874,40892) = 2

We will now calculate the prime factors of 40874 and 40892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40874 and 40892.

How to find the GCF of 40874 and 40892?

We will first find the prime factorization of 40874 and 40892. After we will calculate the factors of 40874 and 40892 and find the biggest common factor number .

Step-1: Prime Factorization of 40874

Prime factors of 40874 are 2, 107, 191. Prime factorization of 40874 in exponential form is:

40874 = 2¹ × 107¹ × 191¹

Step-2: Prime Factorization of 40892

Prime factors of 40892 are 2, 10223. Prime factorization of 40892 in exponential form is:

40892 = 2² × 10223¹

Step-3: Factors of 40874

List of positive integer factors of 40874 that divides 40874 without a remainder.

1, 2, 107, 191, 214, 382, 20437

Step-4: Factors of 40892

List of positive integer factors of 40892 that divides 40874 without a remainder.

1, 2, 4, 10223, 20446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40874 and 40892. The biggest common factor number is the GCF number.
So the greatest common factor 40874 and 40892 is 2.

Also check out the Least Common Multiple of 40874 and 40892