What is the Greatest Common Factor of 3920 and 3926?

Greatest common factor (GCF) of 3920 and 3926 is 2.

GCF(3920,3926) = 2

We will now calculate the prime factors of 3920 and 3926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3920 and 3926.

How to find the GCF of 3920 and 3926?

We will first find the prime factorization of 3920 and 3926. After we will calculate the factors of 3920 and 3926 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 3926

Prime factors of 3926 are 2, 13, 151. Prime factorization of 3926 in exponential form is:

3926 = 2¹ × 13¹ × 151¹

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 3926

List of positive integer factors of 3926 that divides 3920 without a remainder.

1, 2, 13, 26, 151, 302, 1963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3920 and 3926. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3926 is 2.

Also check out the Least Common Multiple of 3920 and 3926