What is the Greatest Common Factor of 68784 and 68804?

Greatest common factor (GCF) of 68784 and 68804 is 4.

GCF(68784,68804) = 4

We will now calculate the prime factors of 68784 and 68804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68784 and 68804.

How to find the GCF of 68784 and 68804?

We will first find the prime factorization of 68784 and 68804. After we will calculate the factors of 68784 and 68804 and find the biggest common factor number .

Step-1: Prime Factorization of 68784

Prime factors of 68784 are 2, 3, 1433. Prime factorization of 68784 in exponential form is:

68784 = 2⁴ × 3¹ × 1433¹

Step-2: Prime Factorization of 68804

Prime factors of 68804 are 2, 103, 167. Prime factorization of 68804 in exponential form is:

68804 = 2² × 103¹ × 167¹

Step-3: Factors of 68784

List of positive integer factors of 68784 that divides 68784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1433, 2866, 4299, 5732, 8598, 11464, 17196, 22928, 34392

Step-4: Factors of 68804

List of positive integer factors of 68804 that divides 68784 without a remainder.

1, 2, 4, 103, 167, 206, 334, 412, 668, 17201, 34402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68784 and 68804. The biggest common factor number is the GCF number.
So the greatest common factor 68784 and 68804 is 4.

Also check out the Least Common Multiple of 68784 and 68804