What is the Greatest Common Factor of 30135 and 30153?

Greatest common factor (GCF) of 30135 and 30153 is 3.

GCF(30135,30153) = 3

We will now calculate the prime factors of 30135 and 30153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30135 and 30153.

How to find the GCF of 30135 and 30153?

We will first find the prime factorization of 30135 and 30153. After we will calculate the factors of 30135 and 30153 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 30153

Prime factors of 30153 are 3, 19, 23. Prime factorization of 30153 in exponential form is:

30153 = 3¹ × 19¹ × 23²

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 30153

List of positive integer factors of 30153 that divides 30135 without a remainder.

1, 3, 19, 23, 57, 69, 437, 529, 1311, 1587, 10051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30135 and 30153. The biggest common factor number is the GCF number.
So the greatest common factor 30135 and 30153 is 3.

Also check out the Least Common Multiple of 30135 and 30153