What is the Greatest Common Factor of 30033 and 30048?

Greatest common factor (GCF) of 30033 and 30048 is 3.

GCF(30033,30048) = 3

We will now calculate the prime factors of 30033 and 30048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30033 and 30048.

How to find the GCF of 30033 and 30048?

We will first find the prime factorization of 30033 and 30048. After we will calculate the factors of 30033 and 30048 and find the biggest common factor number .

Step-1: Prime Factorization of 30033

Prime factors of 30033 are 3, 47, 71. Prime factorization of 30033 in exponential form is:

30033 = 3² × 47¹ × 71¹

Step-2: Prime Factorization of 30048

Prime factors of 30048 are 2, 3, 313. Prime factorization of 30048 in exponential form is:

30048 = 2⁵ × 3¹ × 313¹

Step-3: Factors of 30033

List of positive integer factors of 30033 that divides 30033 without a remainder.

1, 3, 9, 47, 71, 141, 213, 423, 639, 3337, 10011

Step-4: Factors of 30048

List of positive integer factors of 30048 that divides 30033 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 313, 626, 939, 1252, 1878, 2504, 3756, 5008, 7512, 10016, 15024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30033 and 30048. The biggest common factor number is the GCF number.
So the greatest common factor 30033 and 30048 is 3.

Also check out the Least Common Multiple of 30033 and 30048