What is the Greatest Common Factor of 3854 and 3863?

Greatest common factor (GCF) of 3854 and 3863 is 1.

GCF(3854,3863) = 1

We will now calculate the prime factors of 3854 and 3863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3854 and 3863.

How to find the GCF of 3854 and 3863?

We will first find the prime factorization of 3854 and 3863. After we will calculate the factors of 3854 and 3863 and find the biggest common factor number .

Step-1: Prime Factorization of 3854

Prime factors of 3854 are 2, 41, 47. Prime factorization of 3854 in exponential form is:

3854 = 2¹ × 41¹ × 47¹

Step-2: Prime Factorization of 3863

Prime factors of 3863 are 3863. Prime factorization of 3863 in exponential form is:

3863 = 3863¹

Step-3: Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1, 2, 41, 47, 82, 94, 1927

Step-4: Factors of 3863

List of positive integer factors of 3863 that divides 3854 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3854 and 3863. The biggest common factor number is the GCF number.
So the greatest common factor 3854 and 3863 is 1.

Also check out the Least Common Multiple of 3854 and 3863