What is the Greatest Common Factor of 4452 and 4460?

Greatest common factor (GCF) of 4452 and 4460 is 4.

GCF(4452,4460) = 4

We will now calculate the prime factors of 4452 and 4460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4452 and 4460.

How to find the GCF of 4452 and 4460?

We will first find the prime factorization of 4452 and 4460. After we will calculate the factors of 4452 and 4460 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 4460

Prime factors of 4460 are 2, 5, 223. Prime factorization of 4460 in exponential form is:

4460 = 2² × 5¹ × 223¹

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 4460

List of positive integer factors of 4460 that divides 4452 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4452 and 4460. The biggest common factor number is the GCF number.
So the greatest common factor 4452 and 4460 is 4.

Also check out the Least Common Multiple of 4452 and 4460