What is the Greatest Common Factor of 25036 and 25044?

Greatest common factor (GCF) of 25036 and 25044 is 4.

GCF(25036,25044) = 4

We will now calculate the prime factors of 25036 and 25044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25036 and 25044.

How to find the GCF of 25036 and 25044?

We will first find the prime factorization of 25036 and 25044. After we will calculate the factors of 25036 and 25044 and find the biggest common factor number .

Step-1: Prime Factorization of 25036

Prime factors of 25036 are 2, 11, 569. Prime factorization of 25036 in exponential form is:

25036 = 2² × 11¹ × 569¹

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 25036

List of positive integer factors of 25036 that divides 25036 without a remainder.

1, 2, 4, 11, 22, 44, 569, 1138, 2276, 6259, 12518

Step-4: Factors of 25044

List of positive integer factors of 25044 that divides 25036 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 25036 and 25044. The biggest common factor number is the GCF number.
So the greatest common factor 25036 and 25044 is 4.

Also check out the Least Common Multiple of 25036 and 25044