What is the Greatest Common Factor of 86478 and 86496?

Greatest common factor (GCF) of 86478 and 86496 is 6.

GCF(86478,86496) = 6

We will now calculate the prime factors of 86478 and 86496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86478 and 86496.

How to find the GCF of 86478 and 86496?

We will first find the prime factorization of 86478 and 86496. After we will calculate the factors of 86478 and 86496 and find the biggest common factor number .

Step-1: Prime Factorization of 86478

Prime factors of 86478 are 2, 3, 7, 29, 71. Prime factorization of 86478 in exponential form is:

86478 = 2¹ × 3¹ × 7¹ × 29¹ × 71¹

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 86478

List of positive integer factors of 86478 that divides 86478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 71, 87, 142, 174, 203, 213, 406, 426, 497, 609, 994, 1218, 1491, 2059, 2982, 4118, 6177, 12354, 14413, 28826, 43239

Step-4: Factors of 86496

List of positive integer factors of 86496 that divides 86478 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 86478 and 86496. The biggest common factor number is the GCF number.
So the greatest common factor 86478 and 86496 is 6.

Also check out the Least Common Multiple of 86478 and 86496