What is the Greatest Common Factor of 86415 and 86421?

Greatest common factor (GCF) of 86415 and 86421 is 3.

GCF(86415,86421) = 3

We will now calculate the prime factors of 86415 and 86421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86415 and 86421.

How to find the GCF of 86415 and 86421?

We will first find the prime factorization of 86415 and 86421. After we will calculate the factors of 86415 and 86421 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86421

Prime factors of 86421 are 3, 28807. Prime factorization of 86421 in exponential form is:

86421 = 3¹ × 28807¹

Step-3: Factors of 86415

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

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

Step-4: Factors of 86421

List of positive integer factors of 86421 that divides 86415 without a remainder.

1, 3, 28807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86415 and 86421. The biggest common factor number is the GCF number.
So the greatest common factor 86415 and 86421 is 3.

Also check out the Least Common Multiple of 86415 and 86421