What is the Greatest Common Factor of 4438 and 4452?

Greatest common factor (GCF) of 4438 and 4452 is 14.

GCF(4438,4452) = 14

We will now calculate the prime factors of 4438 and 4452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4438 and 4452.

How to find the GCF of 4438 and 4452?

We will first find the prime factorization of 4438 and 4452. After we will calculate the factors of 4438 and 4452 and find the biggest common factor number .

Step-1: Prime Factorization of 4438

Prime factors of 4438 are 2, 7, 317. Prime factorization of 4438 in exponential form is:

4438 = 2¹ × 7¹ × 317¹

Step-2: Prime Factorization of 4452

Prime factors of 4452 are 2, 3, 7, 53. Prime factorization of 4452 in exponential form is:

4452 = 2² × 3¹ × 7¹ × 53¹

Step-3: Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1, 2, 7, 14, 317, 634, 2219

Step-4: Factors of 4452

List of positive integer factors of 4452 that divides 4438 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 53, 84, 106, 159, 212, 318, 371, 636, 742, 1113, 1484, 2226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4438 and 4452. The biggest common factor number is the GCF number.
So the greatest common factor 4438 and 4452 is 14.

Also check out the Least Common Multiple of 4438 and 4452