What is the Greatest Common Factor of 66175 and 66180?

Greatest common factor (GCF) of 66175 and 66180 is 5.

GCF(66175,66180) = 5

We will now calculate the prime factors of 66175 and 66180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66175 and 66180.

How to find the GCF of 66175 and 66180?

We will first find the prime factorization of 66175 and 66180. After we will calculate the factors of 66175 and 66180 and find the biggest common factor number .

Step-1: Prime Factorization of 66175

Prime factors of 66175 are 5, 2647. Prime factorization of 66175 in exponential form is:

66175 = 5² × 2647¹

Step-2: Prime Factorization of 66180

Prime factors of 66180 are 2, 3, 5, 1103. Prime factorization of 66180 in exponential form is:

66180 = 2² × 3¹ × 5¹ × 1103¹

Step-3: Factors of 66175

List of positive integer factors of 66175 that divides 66175 without a remainder.

1, 5, 25, 2647, 13235

Step-4: Factors of 66180

List of positive integer factors of 66180 that divides 66175 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1103, 2206, 3309, 4412, 5515, 6618, 11030, 13236, 16545, 22060, 33090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66175 and 66180. The biggest common factor number is the GCF number.
So the greatest common factor 66175 and 66180 is 5.

Also check out the Least Common Multiple of 66175 and 66180