What is the Greatest Common Factor of 86415 and 86430?

Greatest common factor (GCF) of 86415 and 86430 is 15.

GCF(86415,86430) = 15

We will now calculate the prime factors of 86415 and 86430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86415 and 86430.

How to find the GCF of 86415 and 86430?

We will first find the prime factorization of 86415 and 86430. After we will calculate the factors of 86415 and 86430 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 86430

Prime factors of 86430 are 2, 3, 5, 43, 67. Prime factorization of 86430 in exponential form is:

86430 = 2¹ × 3¹ × 5¹ × 43¹ × 67¹

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 86430

List of positive integer factors of 86430 that divides 86415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 67, 86, 129, 134, 201, 215, 258, 335, 402, 430, 645, 670, 1005, 1290, 2010, 2881, 5762, 8643, 14405, 17286, 28810, 43215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86415 and 86430. The biggest common factor number is the GCF number.
So the greatest common factor 86415 and 86430 is 15.

Also check out the Least Common Multiple of 86415 and 86430