What is the Greatest Common Factor of 3797 and 3814?

Greatest common factor (GCF) of 3797 and 3814 is 1.

GCF(3797,3814) = 1

We will now calculate the prime factors of 3797 and 3814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3797 and 3814.

How to find the GCF of 3797 and 3814?

We will first find the prime factorization of 3797 and 3814. After we will calculate the factors of 3797 and 3814 and find the biggest common factor number .

Step-1: Prime Factorization of 3797

Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:

3797 = 3797¹

Step-2: Prime Factorization of 3814

Prime factors of 3814 are 2, 1907. Prime factorization of 3814 in exponential form is:

3814 = 2¹ × 1907¹

Step-3: Factors of 3797

List of positive integer factors of 3797 that divides 3797 without a remainder.

Step-4: Factors of 3814

List of positive integer factors of 3814 that divides 3797 without a remainder.

1, 2, 1907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3797 and 3814. The biggest common factor number is the GCF number.
So the greatest common factor 3797 and 3814 is 1.

Also check out the Least Common Multiple of 3797 and 3814