What is the Greatest Common Factor of 40874 and 40888?

Greatest common factor (GCF) of 40874 and 40888 is 2.

GCF(40874,40888) = 2

We will now calculate the prime factors of 40874 and 40888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40874 and 40888.

How to find the GCF of 40874 and 40888?

We will first find the prime factorization of 40874 and 40888. After we will calculate the factors of 40874 and 40888 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 40888

Prime factors of 40888 are 2, 19, 269. Prime factorization of 40888 in exponential form is:

40888 = 2³ × 19¹ × 269¹

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 40888

List of positive integer factors of 40888 that divides 40874 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 269, 538, 1076, 2152, 5111, 10222, 20444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40874 and 40888. The biggest common factor number is the GCF number.
So the greatest common factor 40874 and 40888 is 2.

Also check out the Least Common Multiple of 40874 and 40888