What is the Greatest Common Factor of 3874 and 3892?

Greatest common factor (GCF) of 3874 and 3892 is 2.

GCF(3874,3892) = 2

We will now calculate the prime factors of 3874 and 3892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3874 and 3892.

How to find the GCF of 3874 and 3892?

We will first find the prime factorization of 3874 and 3892. After we will calculate the factors of 3874 and 3892 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 3892

Prime factors of 3892 are 2, 7, 139. Prime factorization of 3892 in exponential form is:

3892 = 2² × 7¹ × 139¹

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 3892

List of positive integer factors of 3892 that divides 3874 without a remainder.

1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3874 and 3892. The biggest common factor number is the GCF number.
So the greatest common factor 3874 and 3892 is 2.

Also check out the Least Common Multiple of 3874 and 3892