What is the Greatest Common Factor of 96365 and 96370?

Greatest common factor (GCF) of 96365 and 96370 is 5.

GCF(96365,96370) = 5

We will now calculate the prime factors of 96365 and 96370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96365 and 96370.

How to find the GCF of 96365 and 96370?

We will first find the prime factorization of 96365 and 96370. After we will calculate the factors of 96365 and 96370 and find the biggest common factor number .

Step-1: Prime Factorization of 96365

Prime factors of 96365 are 5, 19273. Prime factorization of 96365 in exponential form is:

96365 = 5¹ × 19273¹

Step-2: Prime Factorization of 96370

Prime factors of 96370 are 2, 5, 23, 419. Prime factorization of 96370 in exponential form is:

96370 = 2¹ × 5¹ × 23¹ × 419¹

Step-3: Factors of 96365

List of positive integer factors of 96365 that divides 96365 without a remainder.

1, 5, 19273

Step-4: Factors of 96370

List of positive integer factors of 96370 that divides 96365 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 419, 838, 2095, 4190, 9637, 19274, 48185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96365 and 96370. The biggest common factor number is the GCF number.
So the greatest common factor 96365 and 96370 is 5.

Also check out the Least Common Multiple of 96365 and 96370