What is the Greatest Common Factor of 40874 and 40889?

Greatest common factor (GCF) of 40874 and 40889 is 1.

GCF(40874,40889) = 1

We will now calculate the prime factors of 40874 and 40889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40874 and 40889.

How to find the GCF of 40874 and 40889?

We will first find the prime factorization of 40874 and 40889. After we will calculate the factors of 40874 and 40889 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 40889

Prime factors of 40889 are 31, 1319. Prime factorization of 40889 in exponential form is:

40889 = 31¹ × 1319¹

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 40889

List of positive integer factors of 40889 that divides 40874 without a remainder.

1, 31, 1319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40874 and 40889. The biggest common factor number is the GCF number.
So the greatest common factor 40874 and 40889 is 1.

Also check out the Least Common Multiple of 40874 and 40889