What is the Greatest Common Factor of 78336 and 78352?

Greatest common factor (GCF) of 78336 and 78352 is 16.

GCF(78336,78352) = 16

We will now calculate the prime factors of 78336 and 78352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78336 and 78352.

How to find the GCF of 78336 and 78352?

We will first find the prime factorization of 78336 and 78352. After we will calculate the factors of 78336 and 78352 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 78352

Prime factors of 78352 are 2, 59, 83. Prime factorization of 78352 in exponential form is:

78352 = 2⁴ × 59¹ × 83¹

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 78352

List of positive integer factors of 78352 that divides 78336 without a remainder.

1, 2, 4, 8, 16, 59, 83, 118, 166, 236, 332, 472, 664, 944, 1328, 4897, 9794, 19588, 39176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78336 and 78352. The biggest common factor number is the GCF number.
So the greatest common factor 78336 and 78352 is 16.

Also check out the Least Common Multiple of 78336 and 78352