What is the Greatest Common Factor of 3858 and 3877?

Greatest common factor (GCF) of 3858 and 3877 is 1.

GCF(3858,3877) = 1

We will now calculate the prime factors of 3858 and 3877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3858 and 3877.

How to find the GCF of 3858 and 3877?

We will first find the prime factorization of 3858 and 3877. After we will calculate the factors of 3858 and 3877 and find the biggest common factor number .

Step-1: Prime Factorization of 3858

Prime factors of 3858 are 2, 3, 643. Prime factorization of 3858 in exponential form is:

3858 = 2¹ × 3¹ × 643¹

Step-2: Prime Factorization of 3877

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 3877¹

Step-3: Factors of 3858

List of positive integer factors of 3858 that divides 3858 without a remainder.

1, 2, 3, 6, 643, 1286, 1929

Step-4: Factors of 3877

List of positive integer factors of 3877 that divides 3858 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3858 and 3877. The biggest common factor number is the GCF number.
So the greatest common factor 3858 and 3877 is 1.

Also check out the Least Common Multiple of 3858 and 3877