What is the Greatest Common Factor of 3854 and 3874?

Greatest common factor (GCF) of 3854 and 3874 is 2.

GCF(3854,3874) = 2

We will now calculate the prime factors of 3854 and 3874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3854 and 3874.

How to find the GCF of 3854 and 3874?

We will first find the prime factorization of 3854 and 3874. After we will calculate the factors of 3854 and 3874 and find the biggest common factor number .

Step-1: Prime Factorization of 3854

Prime factors of 3854 are 2, 41, 47. Prime factorization of 3854 in exponential form is:

3854 = 2¹ × 41¹ × 47¹

Step-2: Prime Factorization of 3874

Prime factors of 3874 are 2, 13, 149. Prime factorization of 3874 in exponential form is:

3874 = 2¹ × 13¹ × 149¹

Step-3: Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1, 2, 41, 47, 82, 94, 1927

Step-4: Factors of 3874

List of positive integer factors of 3874 that divides 3854 without a remainder.

1, 2, 13, 26, 149, 298, 1937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3854 and 3874. The biggest common factor number is the GCF number.
So the greatest common factor 3854 and 3874 is 2.

Also check out the Least Common Multiple of 3854 and 3874