What is the Greatest Common Factor of 86223 and 86229?

Greatest common factor (GCF) of 86223 and 86229 is 3.

GCF(86223,86229) = 3

We will now calculate the prime factors of 86223 and 86229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86223 and 86229.

How to find the GCF of 86223 and 86229?

We will first find the prime factorization of 86223 and 86229. After we will calculate the factors of 86223 and 86229 and find the biggest common factor number .

Step-1: Prime Factorization of 86223

Prime factors of 86223 are 3, 41, 701. Prime factorization of 86223 in exponential form is:

86223 = 3¹ × 41¹ × 701¹

Step-2: 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-3: Factors of 86223

List of positive integer factors of 86223 that divides 86223 without a remainder.

1, 3, 41, 123, 701, 2103, 28741

Step-4: Factors of 86229

List of positive integer factors of 86229 that divides 86223 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86223 and 86229. The biggest common factor number is the GCF number.
So the greatest common factor 86223 and 86229 is 3.

Also check out the Least Common Multiple of 86223 and 86229