What is the Greatest Common Factor of 76808 and 76814?

Greatest common factor (GCF) of 76808 and 76814 is 2.

GCF(76808,76814) = 2

We will now calculate the prime factors of 76808 and 76814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76808 and 76814.

How to find the GCF of 76808 and 76814?

We will first find the prime factorization of 76808 and 76814. After we will calculate the factors of 76808 and 76814 and find the biggest common factor number .

Step-1: Prime Factorization of 76808

Prime factors of 76808 are 2, 9601. Prime factorization of 76808 in exponential form is:

76808 = 2³ × 9601¹

Step-2: Prime Factorization of 76814

Prime factors of 76814 are 2, 193, 199. Prime factorization of 76814 in exponential form is:

76814 = 2¹ × 193¹ × 199¹

Step-3: Factors of 76808

List of positive integer factors of 76808 that divides 76808 without a remainder.

1, 2, 4, 8, 9601, 19202, 38404

Step-4: Factors of 76814

List of positive integer factors of 76814 that divides 76808 without a remainder.

1, 2, 193, 199, 386, 398, 38407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76808 and 76814. The biggest common factor number is the GCF number.
So the greatest common factor 76808 and 76814 is 2.

Also check out the Least Common Multiple of 76808 and 76814