What is the Greatest Common Factor of 3886 and 3902?

Greatest common factor (GCF) of 3886 and 3902 is 2.

GCF(3886,3902) = 2

We will now calculate the prime factors of 3886 and 3902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3886 and 3902.

How to find the GCF of 3886 and 3902?

We will first find the prime factorization of 3886 and 3902. After we will calculate the factors of 3886 and 3902 and find the biggest common factor number .

Step-1: Prime Factorization of 3886

Prime factors of 3886 are 2, 29, 67. Prime factorization of 3886 in exponential form is:

3886 = 2¹ × 29¹ × 67¹

Step-2: Prime Factorization of 3902

Prime factors of 3902 are 2, 1951. Prime factorization of 3902 in exponential form is:

3902 = 2¹ × 1951¹

Step-3: Factors of 3886

List of positive integer factors of 3886 that divides 3886 without a remainder.

1, 2, 29, 58, 67, 134, 1943

Step-4: Factors of 3902

List of positive integer factors of 3902 that divides 3886 without a remainder.

1, 2, 1951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3886 and 3902. The biggest common factor number is the GCF number.
So the greatest common factor 3886 and 3902 is 2.

Also check out the Least Common Multiple of 3886 and 3902