What is the Greatest Common Factor of 3920 and 3934?

Greatest common factor (GCF) of 3920 and 3934 is 14.

GCF(3920,3934) = 14

We will now calculate the prime factors of 3920 and 3934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3920 and 3934.

How to find the GCF of 3920 and 3934?

We will first find the prime factorization of 3920 and 3934. After we will calculate the factors of 3920 and 3934 and find the biggest common factor number .

Step-1: Prime Factorization of 3920

Prime factors of 3920 are 2, 5, 7. Prime factorization of 3920 in exponential form is:

3920 = 2⁴ × 5¹ × 7²

Step-2: Prime Factorization of 3934

Prime factors of 3934 are 2, 7, 281. Prime factorization of 3934 in exponential form is:

3934 = 2¹ × 7¹ × 281¹

Step-3: Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960

Step-4: Factors of 3934

List of positive integer factors of 3934 that divides 3920 without a remainder.

1, 2, 7, 14, 281, 562, 1967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3920 and 3934. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3934 is 14.

Also check out the Least Common Multiple of 3920 and 3934