What is the Greatest Common Factor of 1864 and 1878?

Greatest common factor (GCF) of 1864 and 1878 is 2.

GCF(1864,1878) = 2

We will now calculate the prime factors of 1864 and 1878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1864 and 1878.

How to find the GCF of 1864 and 1878?

We will first find the prime factorization of 1864 and 1878. After we will calculate the factors of 1864 and 1878 and find the biggest common factor number .

Step-1: Prime Factorization of 1864

Prime factors of 1864 are 2, 233. Prime factorization of 1864 in exponential form is:

1864 = 2³ × 233¹

Step-2: Prime Factorization of 1878

Prime factors of 1878 are 2, 3, 313. Prime factorization of 1878 in exponential form is:

1878 = 2¹ × 3¹ × 313¹

Step-3: Factors of 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1, 2, 4, 8, 233, 466, 932

Step-4: Factors of 1878

List of positive integer factors of 1878 that divides 1864 without a remainder.

1, 2, 3, 6, 313, 626, 939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1864 and 1878. The biggest common factor number is the GCF number.
So the greatest common factor 1864 and 1878 is 2.

Also check out the Least Common Multiple of 1864 and 1878