What is the Greatest Common Factor of 66365 and 66375?

Greatest common factor (GCF) of 66365 and 66375 is 5.

GCF(66365,66375) = 5

We will now calculate the prime factors of 66365 and 66375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66365 and 66375.

How to find the GCF of 66365 and 66375?

We will first find the prime factorization of 66365 and 66375. After we will calculate the factors of 66365 and 66375 and find the biggest common factor number .

Step-1: Prime Factorization of 66365

Prime factors of 66365 are 5, 13, 1021. Prime factorization of 66365 in exponential form is:

66365 = 5¹ × 13¹ × 1021¹

Step-2: Prime Factorization of 66375

Prime factors of 66375 are 3, 5, 59. Prime factorization of 66375 in exponential form is:

66375 = 3² × 5³ × 59¹

Step-3: Factors of 66365

List of positive integer factors of 66365 that divides 66365 without a remainder.

1, 5, 13, 65, 1021, 5105, 13273

Step-4: Factors of 66375

List of positive integer factors of 66375 that divides 66365 without a remainder.

1, 3, 5, 9, 15, 25, 45, 59, 75, 125, 177, 225, 295, 375, 531, 885, 1125, 1475, 2655, 4425, 7375, 13275, 22125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66365 and 66375. The biggest common factor number is the GCF number.
So the greatest common factor 66365 and 66375 is 5.

Also check out the Least Common Multiple of 66365 and 66375