What is the Greatest Common Factor of 76806 and 76824?

Greatest common factor (GCF) of 76806 and 76824 is 18.

GCF(76806,76824) = 18

We will now calculate the prime factors of 76806 and 76824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76806 and 76824.

How to find the GCF of 76806 and 76824?

We will first find the prime factorization of 76806 and 76824. After we will calculate the factors of 76806 and 76824 and find the biggest common factor number .

Step-1: Prime Factorization of 76806

Prime factors of 76806 are 2, 3, 17, 251. Prime factorization of 76806 in exponential form is:

76806 = 2¹ × 3² × 17¹ × 251¹

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 76806

List of positive integer factors of 76806 that divides 76806 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 251, 306, 502, 753, 1506, 2259, 4267, 4518, 8534, 12801, 25602, 38403

Step-4: Factors of 76824

List of positive integer factors of 76824 that divides 76806 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 76806 and 76824. The biggest common factor number is the GCF number.
So the greatest common factor 76806 and 76824 is 18.

Also check out the Least Common Multiple of 76806 and 76824