What is the Greatest Common Factor of 66180 and 66190?

Greatest common factor (GCF) of 66180 and 66190 is 10.

GCF(66180,66190) = 10

We will now calculate the prime factors of 66180 and 66190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66180 and 66190.

How to find the GCF of 66180 and 66190?

We will first find the prime factorization of 66180 and 66190. After we will calculate the factors of 66180 and 66190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66190

Prime factors of 66190 are 2, 5, 6619. Prime factorization of 66190 in exponential form is:

66190 = 2¹ × 5¹ × 6619¹

Step-3: Factors of 66180

List of positive integer factors of 66180 that divides 66180 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

Step-4: Factors of 66190

List of positive integer factors of 66190 that divides 66180 without a remainder.

1, 2, 5, 10, 6619, 13238, 33095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66180 and 66190. The biggest common factor number is the GCF number.
So the greatest common factor 66180 and 66190 is 10.

Also check out the Least Common Multiple of 66180 and 66190