What is the Greatest Common Factor of 30024 and 30038?

Greatest common factor (GCF) of 30024 and 30038 is 2.

GCF(30024,30038) = 2

We will now calculate the prime factors of 30024 and 30038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30024 and 30038.

How to find the GCF of 30024 and 30038?

We will first find the prime factorization of 30024 and 30038. After we will calculate the factors of 30024 and 30038 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 30038

Prime factors of 30038 are 2, 23, 653. Prime factorization of 30038 in exponential form is:

30038 = 2¹ × 23¹ × 653¹

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 30038

List of positive integer factors of 30038 that divides 30024 without a remainder.

1, 2, 23, 46, 653, 1306, 15019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30024 and 30038. The biggest common factor number is the GCF number.
So the greatest common factor 30024 and 30038 is 2.

Also check out the Least Common Multiple of 30024 and 30038