What is the Greatest Common Factor of 7802 and 7808?

Greatest common factor (GCF) of 7802 and 7808 is 2.

GCF(7802,7808) = 2

We will now calculate the prime factors of 7802 and 7808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7802 and 7808.

How to find the GCF of 7802 and 7808?

We will first find the prime factorization of 7802 and 7808. After we will calculate the factors of 7802 and 7808 and find the biggest common factor number .

Step-1: Prime Factorization of 7802

Prime factors of 7802 are 2, 47, 83. Prime factorization of 7802 in exponential form is:

7802 = 2¹ × 47¹ × 83¹

Step-2: Prime Factorization of 7808

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

7808 = 2⁷ × 61¹

Step-3: Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1, 2, 47, 83, 94, 166, 3901

Step-4: Factors of 7808

List of positive integer factors of 7808 that divides 7802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7802 and 7808. The biggest common factor number is the GCF number.
So the greatest common factor 7802 and 7808 is 2.

Also check out the Least Common Multiple of 7802 and 7808