What is the Greatest Common Factor of 78320 and 78336?

Greatest common factor (GCF) of 78320 and 78336 is 16.

GCF(78320,78336) = 16

We will now calculate the prime factors of 78320 and 78336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78320 and 78336.

How to find the GCF of 78320 and 78336?

We will first find the prime factorization of 78320 and 78336. After we will calculate the factors of 78320 and 78336 and find the biggest common factor number .

Step-1: Prime Factorization of 78320

Prime factors of 78320 are 2, 5, 11, 89. Prime factorization of 78320 in exponential form is:

78320 = 2⁴ × 5¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 78320

List of positive integer factors of 78320 that divides 78320 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 89, 110, 176, 178, 220, 356, 440, 445, 712, 880, 890, 979, 1424, 1780, 1958, 3560, 3916, 4895, 7120, 7832, 9790, 15664, 19580, 39160

Step-4: Factors of 78336

List of positive integer factors of 78336 that divides 78320 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78320 and 78336. The biggest common factor number is the GCF number.
So the greatest common factor 78320 and 78336 is 16.

Also check out the Least Common Multiple of 78320 and 78336