What is the Greatest Common Factor of 3920 and 3938?

Greatest common factor (GCF) of 3920 and 3938 is 2.

GCF(3920,3938) = 2

We will now calculate the prime factors of 3920 and 3938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3920 and 3938.

How to find the GCF of 3920 and 3938?

We will first find the prime factorization of 3920 and 3938. After we will calculate the factors of 3920 and 3938 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 3938

Prime factors of 3938 are 2, 11, 179. Prime factorization of 3938 in exponential form is:

3938 = 2¹ × 11¹ × 179¹

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 3938

List of positive integer factors of 3938 that divides 3920 without a remainder.

1, 2, 11, 22, 179, 358, 1969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3920 and 3938. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3938 is 2.

Also check out the Least Common Multiple of 3920 and 3938