What is the Greatest Common Factor of 3914 and 3923?

Greatest common factor (GCF) of 3914 and 3923 is 1.

GCF(3914,3923) = 1

We will now calculate the prime factors of 3914 and 3923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3914 and 3923.

How to find the GCF of 3914 and 3923?

We will first find the prime factorization of 3914 and 3923. After we will calculate the factors of 3914 and 3923 and find the biggest common factor number .

Step-1: Prime Factorization of 3914

Prime factors of 3914 are 2, 19, 103. Prime factorization of 3914 in exponential form is:

3914 = 2¹ × 19¹ × 103¹

Step-2: Prime Factorization of 3923

Prime factors of 3923 are 3923. Prime factorization of 3923 in exponential form is:

3923 = 3923¹

Step-3: Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1, 2, 19, 38, 103, 206, 1957

Step-4: Factors of 3923

List of positive integer factors of 3923 that divides 3914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3914 and 3923. The biggest common factor number is the GCF number.
So the greatest common factor 3914 and 3923 is 1.

Also check out the Least Common Multiple of 3914 and 3923