What is the Greatest Common Factor of 3922 and 3940?

Greatest common factor (GCF) of 3922 and 3940 is 2.

GCF(3922,3940) = 2

We will now calculate the prime factors of 3922 and 3940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3922 and 3940.

How to find the GCF of 3922 and 3940?

We will first find the prime factorization of 3922 and 3940. After we will calculate the factors of 3922 and 3940 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 3940

Prime factors of 3940 are 2, 5, 197. Prime factorization of 3940 in exponential form is:

3940 = 2² × 5¹ × 197¹

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 3940

List of positive integer factors of 3940 that divides 3922 without a remainder.

1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3922 and 3940. The biggest common factor number is the GCF number.
So the greatest common factor 3922 and 3940 is 2.

Also check out the Least Common Multiple of 3922 and 3940