What is the Greatest Common Factor of 86292 and 86304?

Greatest common factor (GCF) of 86292 and 86304 is 12.

GCF(86292,86304) = 12

We will now calculate the prime factors of 86292 and 86304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86292 and 86304.

How to find the GCF of 86292 and 86304?

We will first find the prime factorization of 86292 and 86304. After we will calculate the factors of 86292 and 86304 and find the biggest common factor number .

Step-1: Prime Factorization of 86292

Prime factors of 86292 are 2, 3, 17, 47. Prime factorization of 86292 in exponential form is:

86292 = 2² × 3³ × 17¹ × 47¹

Step-2: Prime Factorization of 86304

Prime factors of 86304 are 2, 3, 29, 31. Prime factorization of 86304 in exponential form is:

86304 = 2⁵ × 3¹ × 29¹ × 31¹

Step-3: Factors of 86292

List of positive integer factors of 86292 that divides 86292 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 47, 51, 54, 68, 94, 102, 108, 141, 153, 188, 204, 282, 306, 423, 459, 564, 612, 799, 846, 918, 1269, 1598, 1692, 1836, 2397, 2538, 3196, 4794, 5076, 7191, 9588, 14382, 21573, 28764, 43146

Step-4: Factors of 86304

List of positive integer factors of 86304 that divides 86292 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 32, 48, 58, 62, 87, 93, 96, 116, 124, 174, 186, 232, 248, 348, 372, 464, 496, 696, 744, 899, 928, 992, 1392, 1488, 1798, 2697, 2784, 2976, 3596, 5394, 7192, 10788, 14384, 21576, 28768, 43152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86292 and 86304. The biggest common factor number is the GCF number.
So the greatest common factor 86292 and 86304 is 12.

Also check out the Least Common Multiple of 86292 and 86304