What is the Greatest Common Factor of 76814 and 76824?

Greatest common factor (GCF) of 76814 and 76824 is 2.

GCF(76814,76824) = 2

We will now calculate the prime factors of 76814 and 76824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76814 and 76824.

How to find the GCF of 76814 and 76824?

We will first find the prime factorization of 76814 and 76824. After we will calculate the factors of 76814 and 76824 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76824

Prime factors of 76824 are 2, 3, 11, 97. Prime factorization of 76824 in exponential form is:

76824 = 2³ × 3² × 11¹ × 97¹

Step-3: Factors of 76814

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

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

Step-4: Factors of 76824

List of positive integer factors of 76824 that divides 76814 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 97, 99, 132, 194, 198, 264, 291, 388, 396, 582, 776, 792, 873, 1067, 1164, 1746, 2134, 2328, 3201, 3492, 4268, 6402, 6984, 8536, 9603, 12804, 19206, 25608, 38412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76814 and 76824. The biggest common factor number is the GCF number.
So the greatest common factor 76814 and 76824 is 2.

Also check out the Least Common Multiple of 76814 and 76824