What is the Greatest Common Factor of 3874 and 3893?

Greatest common factor (GCF) of 3874 and 3893 is 1.

GCF(3874,3893) = 1

We will now calculate the prime factors of 3874 and 3893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3874 and 3893.

How to find the GCF of 3874 and 3893?

We will first find the prime factorization of 3874 and 3893. After we will calculate the factors of 3874 and 3893 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3893

Prime factors of 3893 are 17, 229. Prime factorization of 3893 in exponential form is:

3893 = 17¹ × 229¹

Step-3: Factors of 3874

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

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

Step-4: Factors of 3893

List of positive integer factors of 3893 that divides 3874 without a remainder.

1, 17, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3874 and 3893. The biggest common factor number is the GCF number.
So the greatest common factor 3874 and 3893 is 1.

Also check out the Least Common Multiple of 3874 and 3893