What is the Greatest Common Factor of 3854 and 3860?

Greatest common factor (GCF) of 3854 and 3860 is 2.

GCF(3854,3860) = 2

We will now calculate the prime factors of 3854 and 3860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3854 and 3860.

How to find the GCF of 3854 and 3860?

We will first find the prime factorization of 3854 and 3860. After we will calculate the factors of 3854 and 3860 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 3860

Prime factors of 3860 are 2, 5, 193. Prime factorization of 3860 in exponential form is:

3860 = 2² × 5¹ × 193¹

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 3860

List of positive integer factors of 3860 that divides 3854 without a remainder.

1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3854 and 3860. The biggest common factor number is the GCF number.
So the greatest common factor 3854 and 3860 is 2.

Also check out the Least Common Multiple of 3854 and 3860