What is the Greatest Common Factor of 30024 and 30036?

Greatest common factor (GCF) of 30024 and 30036 is 12.

GCF(30024,30036) = 12

We will now calculate the prime factors of 30024 and 30036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30024 and 30036.

How to find the GCF of 30024 and 30036?

We will first find the prime factorization of 30024 and 30036. After we will calculate the factors of 30024 and 30036 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 30036

Prime factors of 30036 are 2, 3, 2503. Prime factorization of 30036 in exponential form is:

30036 = 2² × 3¹ × 2503¹

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 30036

List of positive integer factors of 30036 that divides 30024 without a remainder.

1, 2, 3, 4, 6, 12, 2503, 5006, 7509, 10012, 15018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30024 and 30036. The biggest common factor number is the GCF number.
So the greatest common factor 30024 and 30036 is 12.

Also check out the Least Common Multiple of 30024 and 30036