What is the Greatest Common Factor of 86292 and 86309?

Greatest common factor (GCF) of 86292 and 86309 is 17.

GCF(86292,86309) = 17

We will now calculate the prime factors of 86292 and 86309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86292 and 86309.

How to find the GCF of 86292 and 86309?

We will first find the prime factorization of 86292 and 86309. After we will calculate the factors of 86292 and 86309 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 86309

Prime factors of 86309 are 17, 5077. Prime factorization of 86309 in exponential form is:

86309 = 17¹ × 5077¹

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 86309

List of positive integer factors of 86309 that divides 86292 without a remainder.

1, 17, 5077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86292 and 86309. The biggest common factor number is the GCF number.
So the greatest common factor 86292 and 86309 is 17.

Also check out the Least Common Multiple of 86292 and 86309