What is the Greatest Common Factor of 68784 and 68792?

Greatest common factor (GCF) of 68784 and 68792 is 8.

GCF(68784,68792) = 8

We will now calculate the prime factors of 68784 and 68792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68784 and 68792.

How to find the GCF of 68784 and 68792?

We will first find the prime factorization of 68784 and 68792. After we will calculate the factors of 68784 and 68792 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 68792

Prime factors of 68792 are 2, 8599. Prime factorization of 68792 in exponential form is:

68792 = 2³ × 8599¹

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 68792

List of positive integer factors of 68792 that divides 68784 without a remainder.

1, 2, 4, 8, 8599, 17198, 34396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68784 and 68792. The biggest common factor number is the GCF number.
So the greatest common factor 68784 and 68792 is 8.

Also check out the Least Common Multiple of 68784 and 68792