What is the Greatest Common Factor of 86496 and 86508?

Greatest common factor (GCF) of 86496 and 86508 is 12.

GCF(86496,86508) = 12

We will now calculate the prime factors of 86496 and 86508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86496 and 86508.

How to find the GCF of 86496 and 86508?

We will first find the prime factorization of 86496 and 86508. After we will calculate the factors of 86496 and 86508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86508

Prime factors of 86508 are 2, 3, 89. Prime factorization of 86508 in exponential form is:

86508 = 2² × 3⁵ × 89¹

Step-3: Factors of 86496

List of positive integer factors of 86496 that divides 86496 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

Step-4: Factors of 86508

List of positive integer factors of 86508 that divides 86496 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 89, 108, 162, 178, 243, 267, 324, 356, 486, 534, 801, 972, 1068, 1602, 2403, 3204, 4806, 7209, 9612, 14418, 21627, 28836, 43254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86496 and 86508. The biggest common factor number is the GCF number.
So the greatest common factor 86496 and 86508 is 12.

Also check out the Least Common Multiple of 86496 and 86508