What is the Greatest Common Factor of 66356 and 66375?

Greatest common factor (GCF) of 66356 and 66375 is 1.

GCF(66356,66375) = 1

We will now calculate the prime factors of 66356 and 66375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66356 and 66375.

How to find the GCF of 66356 and 66375?

We will first find the prime factorization of 66356 and 66375. After we will calculate the factors of 66356 and 66375 and find the biggest common factor number .

Step-1: Prime Factorization of 66356

Prime factors of 66356 are 2, 53, 313. Prime factorization of 66356 in exponential form is:

66356 = 2² × 53¹ × 313¹

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 66356

List of positive integer factors of 66356 that divides 66356 without a remainder.

1, 2, 4, 53, 106, 212, 313, 626, 1252, 16589, 33178

Step-4: Factors of 66375

List of positive integer factors of 66375 that divides 66356 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 66356 and 66375. The biggest common factor number is the GCF number.
So the greatest common factor 66356 and 66375 is 1.

Also check out the Least Common Multiple of 66356 and 66375