What is the Greatest Common Factor of 65430 and 65445?

Greatest common factor (GCF) of 65430 and 65445 is 15.

GCF(65430,65445) = 15

We will now calculate the prime factors of 65430 and 65445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65430 and 65445.

How to find the GCF of 65430 and 65445?

We will first find the prime factorization of 65430 and 65445. After we will calculate the factors of 65430 and 65445 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65445

Prime factors of 65445 are 3, 5, 4363. Prime factorization of 65445 in exponential form is:

65445 = 3¹ × 5¹ × 4363¹

Step-3: Factors of 65430

List of positive integer factors of 65430 that divides 65430 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

Step-4: Factors of 65445

List of positive integer factors of 65445 that divides 65430 without a remainder.

1, 3, 5, 15, 4363, 13089, 21815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65430 and 65445. The biggest common factor number is the GCF number.
So the greatest common factor 65430 and 65445 is 15.

Also check out the Least Common Multiple of 65430 and 65445