What is the Greatest Common Factor of 78336 and 78353?

Greatest common factor (GCF) of 78336 and 78353 is 17.

GCF(78336,78353) = 17

We will now calculate the prime factors of 78336 and 78353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78336 and 78353.

How to find the GCF of 78336 and 78353?

We will first find the prime factorization of 78336 and 78353. After we will calculate the factors of 78336 and 78353 and find the biggest common factor number .

Step-1: Prime Factorization of 78336

Prime factors of 78336 are 2, 3, 17. Prime factorization of 78336 in exponential form is:

78336 = 2⁹ × 3² × 17¹

Step-2: Prime Factorization of 78353

Prime factors of 78353 are 11, 17, 419. Prime factorization of 78353 in exponential form is:

78353 = 11¹ × 17¹ × 419¹

Step-3: Factors of 78336

List of positive integer factors of 78336 that divides 78336 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 128, 136, 144, 153, 192, 204, 256, 272, 288, 306, 384, 408, 512, 544, 576, 612, 768, 816, 1088, 1152, 1224, 1536, 1632, 2176, 2304, 2448, 3264, 4352, 4608, 4896, 6528, 8704, 9792, 13056, 19584, 26112, 39168

Step-4: Factors of 78353

List of positive integer factors of 78353 that divides 78336 without a remainder.

1, 11, 17, 187, 419, 4609, 7123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78336 and 78353. The biggest common factor number is the GCF number.
So the greatest common factor 78336 and 78353 is 17.

Also check out the Least Common Multiple of 78336 and 78353