What is the Greatest Common Factor of 64365 and 64381?

Greatest common factor (GCF) of 64365 and 64381 is 1.

GCF(64365,64381) = 1

We will now calculate the prime factors of 64365 and 64381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64365 and 64381.

How to find the GCF of 64365 and 64381?

We will first find the prime factorization of 64365 and 64381. After we will calculate the factors of 64365 and 64381 and find the biggest common factor number .

Step-1: Prime Factorization of 64365

Prime factors of 64365 are 3, 5, 7, 613. Prime factorization of 64365 in exponential form is:

64365 = 3¹ × 5¹ × 7¹ × 613¹

Step-2: Prime Factorization of 64381

Prime factors of 64381 are 64381. Prime factorization of 64381 in exponential form is:

64381 = 64381¹

Step-3: Factors of 64365

List of positive integer factors of 64365 that divides 64365 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 613, 1839, 3065, 4291, 9195, 12873, 21455

Step-4: Factors of 64381

List of positive integer factors of 64381 that divides 64365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64365 and 64381. The biggest common factor number is the GCF number.
So the greatest common factor 64365 and 64381 is 1.

Also check out the Least Common Multiple of 64365 and 64381