What is the Greatest Common Factor of 87296 and 87312?

Greatest common factor (GCF) of 87296 and 87312 is 16.

GCF(87296,87312) = 16

We will now calculate the prime factors of 87296 and 87312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87296 and 87312.

How to find the GCF of 87296 and 87312?

We will first find the prime factorization of 87296 and 87312. After we will calculate the factors of 87296 and 87312 and find the biggest common factor number .

Step-1: Prime Factorization of 87296

Prime factors of 87296 are 2, 11, 31. Prime factorization of 87296 in exponential form is:

87296 = 2⁸ × 11¹ × 31¹

Step-2: Prime Factorization of 87312

Prime factors of 87312 are 2, 3, 17, 107. Prime factorization of 87312 in exponential form is:

87312 = 2⁴ × 3¹ × 17¹ × 107¹

Step-3: Factors of 87296

List of positive integer factors of 87296 that divides 87296 without a remainder.

1, 2, 4, 8, 11, 16, 22, 31, 32, 44, 62, 64, 88, 124, 128, 176, 248, 256, 341, 352, 496, 682, 704, 992, 1364, 1408, 1984, 2728, 2816, 3968, 5456, 7936, 10912, 21824, 43648

Step-4: Factors of 87312

List of positive integer factors of 87312 that divides 87296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 107, 136, 204, 214, 272, 321, 408, 428, 642, 816, 856, 1284, 1712, 1819, 2568, 3638, 5136, 5457, 7276, 10914, 14552, 21828, 29104, 43656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87296 and 87312. The biggest common factor number is the GCF number.
So the greatest common factor 87296 and 87312 is 16.

Also check out the Least Common Multiple of 87296 and 87312