What is the Greatest Common Factor of 28438 and 28452?

Greatest common factor (GCF) of 28438 and 28452 is 2.

GCF(28438,28452) = 2

We will now calculate the prime factors of 28438 and 28452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28438 and 28452.

How to find the GCF of 28438 and 28452?

We will first find the prime factorization of 28438 and 28452. After we will calculate the factors of 28438 and 28452 and find the biggest common factor number .

Step-1: Prime Factorization of 28438

Prime factors of 28438 are 2, 59, 241. Prime factorization of 28438 in exponential form is:

28438 = 2¹ × 59¹ × 241¹

Step-2: Prime Factorization of 28452

Prime factors of 28452 are 2, 3, 2371. Prime factorization of 28452 in exponential form is:

28452 = 2² × 3¹ × 2371¹

Step-3: Factors of 28438

List of positive integer factors of 28438 that divides 28438 without a remainder.

1, 2, 59, 118, 241, 482, 14219

Step-4: Factors of 28452

List of positive integer factors of 28452 that divides 28438 without a remainder.

1, 2, 3, 4, 6, 12, 2371, 4742, 7113, 9484, 14226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28438 and 28452. The biggest common factor number is the GCF number.
So the greatest common factor 28438 and 28452 is 2.

Also check out the Least Common Multiple of 28438 and 28452