What is the Greatest Common Factor of 3920 and 3939?

Greatest common factor (GCF) of 3920 and 3939 is 1.

GCF(3920,3939) = 1

We will now calculate the prime factors of 3920 and 3939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3920 and 3939.

How to find the GCF of 3920 and 3939?

We will first find the prime factorization of 3920 and 3939. After we will calculate the factors of 3920 and 3939 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 3939

Prime factors of 3939 are 3, 13, 101. Prime factorization of 3939 in exponential form is:

3939 = 3¹ × 13¹ × 101¹

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 3939

List of positive integer factors of 3939 that divides 3920 without a remainder.

1, 3, 13, 39, 101, 303, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3920 and 3939. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3939 is 1.

Also check out the Least Common Multiple of 3920 and 3939