What is the Greatest Common Factor of 66375 and 66381?

Greatest common factor (GCF) of 66375 and 66381 is 3.

GCF(66375,66381) = 3

We will now calculate the prime factors of 66375 and 66381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66375 and 66381.

How to find the GCF of 66375 and 66381?

We will first find the prime factorization of 66375 and 66381. After we will calculate the factors of 66375 and 66381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66381

Prime factors of 66381 are 3, 7, 29, 109. Prime factorization of 66381 in exponential form is:

66381 = 3¹ × 7¹ × 29¹ × 109¹

Step-3: Factors of 66375

List of positive integer factors of 66375 that divides 66375 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

Step-4: Factors of 66381

List of positive integer factors of 66381 that divides 66375 without a remainder.

1, 3, 7, 21, 29, 87, 109, 203, 327, 609, 763, 2289, 3161, 9483, 22127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66375 and 66381. The biggest common factor number is the GCF number.
So the greatest common factor 66375 and 66381 is 3.

Also check out the Least Common Multiple of 66375 and 66381