What is the Greatest Common Factor of 86409 and 86415?

Greatest common factor (GCF) of 86409 and 86415 is 3.

GCF(86409,86415) = 3

We will now calculate the prime factors of 86409 and 86415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86409 and 86415.

How to find the GCF of 86409 and 86415?

We will first find the prime factorization of 86409 and 86415. After we will calculate the factors of 86409 and 86415 and find the biggest common factor number .

Step-1: Prime Factorization of 86409

Prime factors of 86409 are 3, 9601. Prime factorization of 86409 in exponential form is:

86409 = 3² × 9601¹

Step-2: Prime Factorization of 86415

Prime factors of 86415 are 3, 5, 7, 823. Prime factorization of 86415 in exponential form is:

86415 = 3¹ × 5¹ × 7¹ × 823¹

Step-3: Factors of 86409

List of positive integer factors of 86409 that divides 86409 without a remainder.

1, 3, 9, 9601, 28803

Step-4: Factors of 86415

List of positive integer factors of 86415 that divides 86409 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 823, 2469, 4115, 5761, 12345, 17283, 28805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86409 and 86415. The biggest common factor number is the GCF number.
So the greatest common factor 86409 and 86415 is 3.

Also check out the Least Common Multiple of 86409 and 86415