What is the Greatest Common Factor of 30135 and 30145?

Greatest common factor (GCF) of 30135 and 30145 is 5.

GCF(30135,30145) = 5

We will now calculate the prime factors of 30135 and 30145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30135 and 30145.

How to find the GCF of 30135 and 30145?

We will first find the prime factorization of 30135 and 30145. After we will calculate the factors of 30135 and 30145 and find the biggest common factor number .

Step-1: Prime Factorization of 30135

Prime factors of 30135 are 3, 5, 7, 41. Prime factorization of 30135 in exponential form is:

30135 = 3¹ × 5¹ × 7² × 41¹

Step-2: Prime Factorization of 30145

Prime factors of 30145 are 5, 6029. Prime factorization of 30145 in exponential form is:

30145 = 5¹ × 6029¹

Step-3: Factors of 30135

List of positive integer factors of 30135 that divides 30135 without a remainder.

1, 3, 5, 7, 15, 21, 35, 41, 49, 105, 123, 147, 205, 245, 287, 615, 735, 861, 1435, 2009, 4305, 6027, 10045

Step-4: Factors of 30145

List of positive integer factors of 30145 that divides 30135 without a remainder.

1, 5, 6029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30135 and 30145. The biggest common factor number is the GCF number.
So the greatest common factor 30135 and 30145 is 5.

Also check out the Least Common Multiple of 30135 and 30145