What is the Greatest Common Factor of 40874 and 40890?

Greatest common factor (GCF) of 40874 and 40890 is 2.

GCF(40874,40890) = 2

We will now calculate the prime factors of 40874 and 40890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40874 and 40890.

How to find the GCF of 40874 and 40890?

We will first find the prime factorization of 40874 and 40890. After we will calculate the factors of 40874 and 40890 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 40890

Prime factors of 40890 are 2, 3, 5, 29, 47. Prime factorization of 40890 in exponential form is:

40890 = 2¹ × 3¹ × 5¹ × 29¹ × 47¹

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 40890

List of positive integer factors of 40890 that divides 40874 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 47, 58, 87, 94, 141, 145, 174, 235, 282, 290, 435, 470, 705, 870, 1363, 1410, 2726, 4089, 6815, 8178, 13630, 20445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40874 and 40890. The biggest common factor number is the GCF number.
So the greatest common factor 40874 and 40890 is 2.

Also check out the Least Common Multiple of 40874 and 40890