What is the Greatest Common Factor of 3878 and 3898?

Greatest common factor (GCF) of 3878 and 3898 is 2.

GCF(3878,3898) = 2

We will now calculate the prime factors of 3878 and 3898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3878 and 3898.

How to find the GCF of 3878 and 3898?

We will first find the prime factorization of 3878 and 3898. After we will calculate the factors of 3878 and 3898 and find the biggest common factor number .

Step-1: Prime Factorization of 3878

Prime factors of 3878 are 2, 7, 277. Prime factorization of 3878 in exponential form is:

3878 = 2¹ × 7¹ × 277¹

Step-2: Prime Factorization of 3898

Prime factors of 3898 are 2, 1949. Prime factorization of 3898 in exponential form is:

3898 = 2¹ × 1949¹

Step-3: Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1, 2, 7, 14, 277, 554, 1939

Step-4: Factors of 3898

List of positive integer factors of 3898 that divides 3878 without a remainder.

1, 2, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3878 and 3898. The biggest common factor number is the GCF number.
So the greatest common factor 3878 and 3898 is 2.

Also check out the Least Common Multiple of 3878 and 3898