What is the Greatest Common Factor of 30024 and 30039?

Greatest common factor (GCF) of 30024 and 30039 is 3.

GCF(30024,30039) = 3

We will now calculate the prime factors of 30024 and 30039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30024 and 30039.

How to find the GCF of 30024 and 30039?

We will first find the prime factorization of 30024 and 30039. After we will calculate the factors of 30024 and 30039 and find the biggest common factor number .

Step-1: Prime Factorization of 30024

Prime factors of 30024 are 2, 3, 139. Prime factorization of 30024 in exponential form is:

30024 = 2³ × 3³ × 139¹

Step-2: Prime Factorization of 30039

Prime factors of 30039 are 3, 17, 19, 31. Prime factorization of 30039 in exponential form is:

30039 = 3¹ × 17¹ × 19¹ × 31¹

Step-3: Factors of 30024

List of positive integer factors of 30024 that divides 30024 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 139, 216, 278, 417, 556, 834, 1112, 1251, 1668, 2502, 3336, 3753, 5004, 7506, 10008, 15012

Step-4: Factors of 30039

List of positive integer factors of 30039 that divides 30024 without a remainder.

1, 3, 17, 19, 31, 51, 57, 93, 323, 527, 589, 969, 1581, 1767, 10013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30024 and 30039. The biggest common factor number is the GCF number.
So the greatest common factor 30024 and 30039 is 3.

Also check out the Least Common Multiple of 30024 and 30039