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What is the Greatest Common Factor of 68784 and 68800?

Greatest common factor (GCF) of 68784 and 68800 is 16.

GCF(68784,68800) = 16

We will now calculate the prime factors of 68784 and 68800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68784 and 68800.

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How to find the GCF of 68784 and 68800?

We will first find the prime factorization of 68784 and 68800. After we will calculate the factors of 68784 and 68800 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 68800

Prime factors of 68800 are 2, 5, 43. Prime factorization of 68800 in exponential form is:

68800 = 26 × 52 × 431

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 68800

List of positive integer factors of 68800 that divides 68784 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 43, 50, 64, 80, 86, 100, 160, 172, 200, 215, 320, 344, 400, 430, 688, 800, 860, 1075, 1376, 1600, 1720, 2150, 2752, 3440, 4300, 6880, 8600, 13760, 17200, 34400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68784 and 68800. The biggest common factor number is the GCF number.
So the greatest common factor 68784 and 68800 is 16.

Also check out the Least Common Multiple of 68784 and 68800