What is the Greatest Common Factor of 30153 and 30159?

Greatest common factor (GCF) of 30153 and 30159 is 3.

GCF(30153,30159) = 3

We will now calculate the prime factors of 30153 and 30159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30153 and 30159.

How to find the GCF of 30153 and 30159?

We will first find the prime factorization of 30153 and 30159. After we will calculate the factors of 30153 and 30159 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30159

Prime factors of 30159 are 3, 1117. Prime factorization of 30159 in exponential form is:

30159 = 3³ × 1117¹

Step-3: Factors of 30153

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

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

Step-4: Factors of 30159

List of positive integer factors of 30159 that divides 30153 without a remainder.

1, 3, 9, 27, 1117, 3351, 10053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30153 and 30159. The biggest common factor number is the GCF number.
So the greatest common factor 30153 and 30159 is 3.

Also check out the Least Common Multiple of 30153 and 30159