What is the Greatest Common Factor of 3890 and 3902?

Greatest common factor (GCF) of 3890 and 3902 is 2.

GCF(3890,3902) = 2

We will now calculate the prime factors of 3890 and 3902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3890 and 3902.

How to find the GCF of 3890 and 3902?

We will first find the prime factorization of 3890 and 3902. After we will calculate the factors of 3890 and 3902 and find the biggest common factor number .

Step-1: Prime Factorization of 3890

Prime factors of 3890 are 2, 5, 389. Prime factorization of 3890 in exponential form is:

3890 = 2¹ × 5¹ × 389¹

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 3890

List of positive integer factors of 3890 that divides 3890 without a remainder.

1, 2, 5, 10, 389, 778, 1945

Step-4: Factors of 3902

List of positive integer factors of 3902 that divides 3890 without a remainder.

1, 2, 1951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3890 and 3902. The biggest common factor number is the GCF number.
So the greatest common factor 3890 and 3902 is 2.

Also check out the Least Common Multiple of 3890 and 3902