What is the Greatest Common Factor of 3892 and 3906?

Greatest common factor (GCF) of 3892 and 3906 is 14.

GCF(3892,3906) = 14

We will now calculate the prime factors of 3892 and 3906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3892 and 3906.

How to find the GCF of 3892 and 3906?

We will first find the prime factorization of 3892 and 3906. After we will calculate the factors of 3892 and 3906 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3906

Prime factors of 3906 are 2, 3, 7, 31. Prime factorization of 3906 in exponential form is:

3906 = 2¹ × 3² × 7¹ × 31¹

Step-3: Factors of 3892

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

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

Step-4: Factors of 3906

List of positive integer factors of 3906 that divides 3892 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3892 and 3906. The biggest common factor number is the GCF number.
So the greatest common factor 3892 and 3906 is 14.

Also check out the Least Common Multiple of 3892 and 3906