What is the Greatest Common Factor of 7868 and 7878?

Greatest common factor (GCF) of 7868 and 7878 is 2.

GCF(7868,7878) = 2

We will now calculate the prime factors of 7868 and 7878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7868 and 7878.

How to find the GCF of 7868 and 7878?

We will first find the prime factorization of 7868 and 7878. After we will calculate the factors of 7868 and 7878 and find the biggest common factor number .

Step-1: Prime Factorization of 7868

Prime factors of 7868 are 2, 7, 281. Prime factorization of 7868 in exponential form is:

7868 = 2² × 7¹ × 281¹

Step-2: Prime Factorization of 7878

Prime factors of 7878 are 2, 3, 13, 101. Prime factorization of 7878 in exponential form is:

7878 = 2¹ × 3¹ × 13¹ × 101¹

Step-3: Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1, 2, 4, 7, 14, 28, 281, 562, 1124, 1967, 3934

Step-4: Factors of 7878

List of positive integer factors of 7878 that divides 7868 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7868 and 7878. The biggest common factor number is the GCF number.
So the greatest common factor 7868 and 7878 is 2.

Also check out the Least Common Multiple of 7868 and 7878