What is the Greatest Common Factor of 65355 and 65375?

Greatest common factor (GCF) of 65355 and 65375 is 5.

GCF(65355,65375) = 5

We will now calculate the prime factors of 65355 and 65375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65355 and 65375.

How to find the GCF of 65355 and 65375?

We will first find the prime factorization of 65355 and 65375. After we will calculate the factors of 65355 and 65375 and find the biggest common factor number .

Step-1: Prime Factorization of 65355

Prime factors of 65355 are 3, 5, 4357. Prime factorization of 65355 in exponential form is:

65355 = 3¹ × 5¹ × 4357¹

Step-2: Prime Factorization of 65375

Prime factors of 65375 are 5, 523. Prime factorization of 65375 in exponential form is:

65375 = 5³ × 523¹

Step-3: Factors of 65355

List of positive integer factors of 65355 that divides 65355 without a remainder.

1, 3, 5, 15, 4357, 13071, 21785

Step-4: Factors of 65375

List of positive integer factors of 65375 that divides 65355 without a remainder.

1, 5, 25, 125, 523, 2615, 13075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65355 and 65375. The biggest common factor number is the GCF number.
So the greatest common factor 65355 and 65375 is 5.

Also check out the Least Common Multiple of 65355 and 65375