What is the Greatest Common Factor of 25032 and 25044?

Greatest common factor (GCF) of 25032 and 25044 is 12.

GCF(25032,25044) = 12

We will now calculate the prime factors of 25032 and 25044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25032 and 25044.

How to find the GCF of 25032 and 25044?

We will first find the prime factorization of 25032 and 25044. After we will calculate the factors of 25032 and 25044 and find the biggest common factor number .

Step-1: Prime Factorization of 25032

Prime factors of 25032 are 2, 3, 7, 149. Prime factorization of 25032 in exponential form is:

25032 = 2³ × 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 25044

Prime factors of 25044 are 2, 3, 2087. Prime factorization of 25044 in exponential form is:

25044 = 2² × 3¹ × 2087¹

Step-3: Factors of 25032

List of positive integer factors of 25032 that divides 25032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 149, 168, 298, 447, 596, 894, 1043, 1192, 1788, 2086, 3129, 3576, 4172, 6258, 8344, 12516

Step-4: Factors of 25044

List of positive integer factors of 25044 that divides 25032 without a remainder.

1, 2, 3, 4, 6, 12, 2087, 4174, 6261, 8348, 12522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25032 and 25044. The biggest common factor number is the GCF number.
So the greatest common factor 25032 and 25044 is 12.

Also check out the Least Common Multiple of 25032 and 25044