What is the Greatest Common Factor of 3922 and 3928?

Greatest common factor (GCF) of 3922 and 3928 is 2.

GCF(3922,3928) = 2

We will now calculate the prime factors of 3922 and 3928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3922 and 3928.

How to find the GCF of 3922 and 3928?

We will first find the prime factorization of 3922 and 3928. After we will calculate the factors of 3922 and 3928 and find the biggest common factor number .

Step-1: Prime Factorization of 3922

Prime factors of 3922 are 2, 37, 53. Prime factorization of 3922 in exponential form is:

3922 = 2¹ × 37¹ × 53¹

Step-2: Prime Factorization of 3928

Prime factors of 3928 are 2, 491. Prime factorization of 3928 in exponential form is:

3928 = 2³ × 491¹

Step-3: Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1, 2, 37, 53, 74, 106, 1961

Step-4: Factors of 3928

List of positive integer factors of 3928 that divides 3922 without a remainder.

1, 2, 4, 8, 491, 982, 1964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3922 and 3928. The biggest common factor number is the GCF number.
So the greatest common factor 3922 and 3928 is 2.

Also check out the Least Common Multiple of 3922 and 3928