What is the Greatest Common Factor of 86229 and 86235?

Greatest common factor (GCF) of 86229 and 86235 is 3.

GCF(86229,86235) = 3

We will now calculate the prime factors of 86229 and 86235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86229 and 86235.

How to find the GCF of 86229 and 86235?

We will first find the prime factorization of 86229 and 86235. After we will calculate the factors of 86229 and 86235 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 86235

Prime factors of 86235 are 3, 5, 5749. Prime factorization of 86235 in exponential form is:

86235 = 3¹ × 5¹ × 5749¹

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 86235

List of positive integer factors of 86235 that divides 86229 without a remainder.

1, 3, 5, 15, 5749, 17247, 28745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86229 and 86235. The biggest common factor number is the GCF number.
So the greatest common factor 86229 and 86235 is 3.

Also check out the Least Common Multiple of 86229 and 86235