What is the Greatest Common Factor of 4452 and 4466?

Greatest common factor (GCF) of 4452 and 4466 is 14.

GCF(4452,4466) = 14

We will now calculate the prime factors of 4452 and 4466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4452 and 4466.

How to find the GCF of 4452 and 4466?

We will first find the prime factorization of 4452 and 4466. After we will calculate the factors of 4452 and 4466 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4466

Prime factors of 4466 are 2, 7, 11, 29. Prime factorization of 4466 in exponential form is:

4466 = 2¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 4452

List of positive integer factors of 4452 that divides 4452 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

Step-4: Factors of 4466

List of positive integer factors of 4466 that divides 4452 without a remainder.

1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4452 and 4466. The biggest common factor number is the GCF number.
So the greatest common factor 4452 and 4466 is 14.

Also check out the Least Common Multiple of 4452 and 4466