What is the Greatest Common Factor of 66375 and 66380?

Greatest common factor (GCF) of 66375 and 66380 is 5.

GCF(66375,66380) = 5

We will now calculate the prime factors of 66375 and 66380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66375 and 66380.

How to find the GCF of 66375 and 66380?

We will first find the prime factorization of 66375 and 66380. After we will calculate the factors of 66375 and 66380 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 66380

Prime factors of 66380 are 2, 5, 3319. Prime factorization of 66380 in exponential form is:

66380 = 2² × 5¹ × 3319¹

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 66380

List of positive integer factors of 66380 that divides 66375 without a remainder.

1, 2, 4, 5, 10, 20, 3319, 6638, 13276, 16595, 33190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66375 and 66380. The biggest common factor number is the GCF number.
So the greatest common factor 66375 and 66380 is 5.

Also check out the Least Common Multiple of 66375 and 66380