What is the Greatest Common Factor of 30166 and 30180?

Greatest common factor (GCF) of 30166 and 30180 is 2.

GCF(30166,30180) = 2

We will now calculate the prime factors of 30166 and 30180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30166 and 30180.

How to find the GCF of 30166 and 30180?

We will first find the prime factorization of 30166 and 30180. After we will calculate the factors of 30166 and 30180 and find the biggest common factor number .

Step-1: Prime Factorization of 30166

Prime factors of 30166 are 2, 15083. Prime factorization of 30166 in exponential form is:

30166 = 2¹ × 15083¹

Step-2: Prime Factorization of 30180

Prime factors of 30180 are 2, 3, 5, 503. Prime factorization of 30180 in exponential form is:

30180 = 2² × 3¹ × 5¹ × 503¹

Step-3: Factors of 30166

List of positive integer factors of 30166 that divides 30166 without a remainder.

1, 2, 15083

Step-4: Factors of 30180

List of positive integer factors of 30180 that divides 30166 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 503, 1006, 1509, 2012, 2515, 3018, 5030, 6036, 7545, 10060, 15090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30166 and 30180. The biggest common factor number is the GCF number.
So the greatest common factor 30166 and 30180 is 2.

Also check out the Least Common Multiple of 30166 and 30180