What is the Greatest Common Factor of 7859 and 7868?

Greatest common factor (GCF) of 7859 and 7868 is 1.

GCF(7859,7868) = 1

We will now calculate the prime factors of 7859 and 7868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7859 and 7868.

How to find the GCF of 7859 and 7868?

We will first find the prime factorization of 7859 and 7868. After we will calculate the factors of 7859 and 7868 and find the biggest common factor number .

Step-1: Prime Factorization of 7859

Prime factors of 7859 are 29, 271. Prime factorization of 7859 in exponential form is:

7859 = 29¹ × 271¹

Step-2: 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-3: Factors of 7859

List of positive integer factors of 7859 that divides 7859 without a remainder.

1, 29, 271

Step-4: Factors of 7868

List of positive integer factors of 7868 that divides 7859 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7859 and 7868. The biggest common factor number is the GCF number.
So the greatest common factor 7859 and 7868 is 1.

Also check out the Least Common Multiple of 7859 and 7868