What is the Greatest Common Factor of 7808 and 7823?

Greatest common factor (GCF) of 7808 and 7823 is 1.

GCF(7808,7823) = 1

We will now calculate the prime factors of 7808 and 7823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7808 and 7823.

How to find the GCF of 7808 and 7823?

We will first find the prime factorization of 7808 and 7823. After we will calculate the factors of 7808 and 7823 and find the biggest common factor number .

Step-1: Prime Factorization of 7808

Prime factors of 7808 are 2, 61. Prime factorization of 7808 in exponential form is:

7808 = 2⁷ × 61¹

Step-2: Prime Factorization of 7823

Prime factors of 7823 are 7823. Prime factorization of 7823 in exponential form is:

7823 = 7823¹

Step-3: Factors of 7808

List of positive integer factors of 7808 that divides 7808 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 488, 976, 1952, 3904

Step-4: Factors of 7823

List of positive integer factors of 7823 that divides 7808 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7808 and 7823. The biggest common factor number is the GCF number.
So the greatest common factor 7808 and 7823 is 1.

Also check out the Least Common Multiple of 7808 and 7823