What is the Greatest Common Factor of 30135 and 30147?

Greatest common factor (GCF) of 30135 and 30147 is 3.

GCF(30135,30147) = 3

We will now calculate the prime factors of 30135 and 30147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30135 and 30147.

How to find the GCF of 30135 and 30147?

We will first find the prime factorization of 30135 and 30147. After we will calculate the factors of 30135 and 30147 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 30147

Prime factors of 30147 are 3, 13, 773. Prime factorization of 30147 in exponential form is:

30147 = 3¹ × 13¹ × 773¹

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 30147

List of positive integer factors of 30147 that divides 30135 without a remainder.

1, 3, 13, 39, 773, 2319, 10049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30135 and 30147. The biggest common factor number is the GCF number.
So the greatest common factor 30135 and 30147 is 3.

Also check out the Least Common Multiple of 30135 and 30147