What is the Greatest Common Factor of 86480 and 86496?

Greatest common factor (GCF) of 86480 and 86496 is 16.

GCF(86480,86496) = 16

We will now calculate the prime factors of 86480 and 86496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86480 and 86496.

How to find the GCF of 86480 and 86496?

We will first find the prime factorization of 86480 and 86496. After we will calculate the factors of 86480 and 86496 and find the biggest common factor number .

Step-1: Prime Factorization of 86480

Prime factors of 86480 are 2, 5, 23, 47. Prime factorization of 86480 in exponential form is:

86480 = 2⁴ × 5¹ × 23¹ × 47¹

Step-2: Prime Factorization of 86496

Prime factors of 86496 are 2, 3, 17, 53. Prime factorization of 86496 in exponential form is:

86496 = 2⁵ × 3¹ × 17¹ × 53¹

Step-3: Factors of 86480

List of positive integer factors of 86480 that divides 86480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 47, 80, 92, 94, 115, 184, 188, 230, 235, 368, 376, 460, 470, 752, 920, 940, 1081, 1840, 1880, 2162, 3760, 4324, 5405, 8648, 10810, 17296, 21620, 43240

Step-4: Factors of 86496

List of positive integer factors of 86496 that divides 86480 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 53, 68, 96, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 544, 636, 816, 848, 901, 1272, 1632, 1696, 1802, 2544, 2703, 3604, 5088, 5406, 7208, 10812, 14416, 21624, 28832, 43248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86480 and 86496. The biggest common factor number is the GCF number.
So the greatest common factor 86480 and 86496 is 16.

Also check out the Least Common Multiple of 86480 and 86496