What is the Greatest Common Factor of 3814 and 3820?

Greatest common factor (GCF) of 3814 and 3820 is 2.

GCF(3814,3820) = 2

We will now calculate the prime factors of 3814 and 3820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3814 and 3820.

How to find the GCF of 3814 and 3820?

We will first find the prime factorization of 3814 and 3820. After we will calculate the factors of 3814 and 3820 and find the biggest common factor number .

Step-1: Prime Factorization of 3814

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

3814 = 2¹ × 1907¹

Step-2: Prime Factorization of 3820

Prime factors of 3820 are 2, 5, 191. Prime factorization of 3820 in exponential form is:

3820 = 2² × 5¹ × 191¹

Step-3: Factors of 3814

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

1, 2, 1907

Step-4: Factors of 3820

List of positive integer factors of 3820 that divides 3814 without a remainder.

1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3814 and 3820. The biggest common factor number is the GCF number.
So the greatest common factor 3814 and 3820 is 2.

Also check out the Least Common Multiple of 3814 and 3820