What is the Greatest Common Factor of 65415 and 65430?

Greatest common factor (GCF) of 65415 and 65430 is 15.

GCF(65415,65430) = 15

We will now calculate the prime factors of 65415 and 65430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65415 and 65430.

How to find the GCF of 65415 and 65430?

We will first find the prime factorization of 65415 and 65430. After we will calculate the factors of 65415 and 65430 and find the biggest common factor number .

Step-1: Prime Factorization of 65415

Prime factors of 65415 are 3, 5, 7, 89. Prime factorization of 65415 in exponential form is:

65415 = 3¹ × 5¹ × 7² × 89¹

Step-2: Prime Factorization of 65430

Prime factors of 65430 are 2, 3, 5, 727. Prime factorization of 65430 in exponential form is:

65430 = 2¹ × 3² × 5¹ × 727¹

Step-3: Factors of 65415

List of positive integer factors of 65415 that divides 65415 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 89, 105, 147, 245, 267, 445, 623, 735, 1335, 1869, 3115, 4361, 9345, 13083, 21805

Step-4: Factors of 65430

List of positive integer factors of 65430 that divides 65415 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 727, 1454, 2181, 3635, 4362, 6543, 7270, 10905, 13086, 21810, 32715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65415 and 65430. The biggest common factor number is the GCF number.
So the greatest common factor 65415 and 65430 is 15.

Also check out the Least Common Multiple of 65415 and 65430