What is the Greatest Common Factor of 7808 and 7824?

Greatest common factor (GCF) of 7808 and 7824 is 16.

GCF(7808,7824) = 16

We will now calculate the prime factors of 7808 and 7824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7808 and 7824.

How to find the GCF of 7808 and 7824?

We will first find the prime factorization of 7808 and 7824. After we will calculate the factors of 7808 and 7824 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 7824

Prime factors of 7824 are 2, 3, 163. Prime factorization of 7824 in exponential form is:

7824 = 2⁴ × 3¹ × 163¹

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 7824

List of positive integer factors of 7824 that divides 7808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7808 and 7824. The biggest common factor number is the GCF number.
So the greatest common factor 7808 and 7824 is 16.

Also check out the Least Common Multiple of 7808 and 7824