What is the Greatest Common Factor of 86430 and 86445?

Greatest common factor (GCF) of 86430 and 86445 is 15.

GCF(86430,86445) = 15

We will now calculate the prime factors of 86430 and 86445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86430 and 86445.

How to find the GCF of 86430 and 86445?

We will first find the prime factorization of 86430 and 86445. After we will calculate the factors of 86430 and 86445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86445

Prime factors of 86445 are 3, 5, 17, 113. Prime factorization of 86445 in exponential form is:

86445 = 3² × 5¹ × 17¹ × 113¹

Step-3: Factors of 86430

List of positive integer factors of 86430 that divides 86430 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

Step-4: Factors of 86445

List of positive integer factors of 86445 that divides 86430 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 113, 153, 255, 339, 565, 765, 1017, 1695, 1921, 5085, 5763, 9605, 17289, 28815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86430 and 86445. The biggest common factor number is the GCF number.
So the greatest common factor 86430 and 86445 is 15.

Also check out the Least Common Multiple of 86430 and 86445