What is the Greatest Common Factor of 86229 and 86238?

Greatest common factor (GCF) of 86229 and 86238 is 9.

GCF(86229,86238) = 9

We will now calculate the prime factors of 86229 and 86238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86229 and 86238.

How to find the GCF of 86229 and 86238?

We will first find the prime factorization of 86229 and 86238. After we will calculate the factors of 86229 and 86238 and find the biggest common factor number .

Step-1: Prime Factorization of 86229

Prime factors of 86229 are 3, 11, 13, 67. Prime factorization of 86229 in exponential form is:

86229 = 3² × 11¹ × 13¹ × 67¹

Step-2: Prime Factorization of 86238

Prime factors of 86238 are 2, 3, 1597. Prime factorization of 86238 in exponential form is:

86238 = 2¹ × 3³ × 1597¹

Step-3: Factors of 86229

List of positive integer factors of 86229 that divides 86229 without a remainder.

1, 3, 9, 11, 13, 33, 39, 67, 99, 117, 143, 201, 429, 603, 737, 871, 1287, 2211, 2613, 6633, 7839, 9581, 28743

Step-4: Factors of 86238

List of positive integer factors of 86238 that divides 86229 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1597, 3194, 4791, 9582, 14373, 28746, 43119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86229 and 86238. The biggest common factor number is the GCF number.
So the greatest common factor 86229 and 86238 is 9.

Also check out the Least Common Multiple of 86229 and 86238