What is the Greatest Common Factor of 4403 and 4410?

Greatest common factor (GCF) of 4403 and 4410 is 7.

GCF(4403,4410) = 7

We will now calculate the prime factors of 4403 and 4410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4403 and 4410.

How to find the GCF of 4403 and 4410?

We will first find the prime factorization of 4403 and 4410. After we will calculate the factors of 4403 and 4410 and find the biggest common factor number .

Step-1: Prime Factorization of 4403

Prime factors of 4403 are 7, 17, 37. Prime factorization of 4403 in exponential form is:

4403 = 7¹ × 17¹ × 37¹

Step-2: Prime Factorization of 4410

Prime factors of 4410 are 2, 3, 5, 7. Prime factorization of 4410 in exponential form is:

4410 = 2¹ × 3² × 5¹ × 7²

Step-3: Factors of 4403

List of positive integer factors of 4403 that divides 4403 without a remainder.

1, 7, 17, 37, 119, 259, 629

Step-4: Factors of 4410

List of positive integer factors of 4410 that divides 4403 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4403 and 4410. The biggest common factor number is the GCF number.
So the greatest common factor 4403 and 4410 is 7.

Also check out the Least Common Multiple of 4403 and 4410