What is the Greatest Common Factor of 4485 and 4503?

Greatest common factor (GCF) of 4485 and 4503 is 3.

GCF(4485,4503) = 3

We will now calculate the prime factors of 4485 and 4503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4485 and 4503.

How to find the GCF of 4485 and 4503?

We will first find the prime factorization of 4485 and 4503. After we will calculate the factors of 4485 and 4503 and find the biggest common factor number .

Step-1: Prime Factorization of 4485

Prime factors of 4485 are 3, 5, 13, 23. Prime factorization of 4485 in exponential form is:

4485 = 3¹ × 5¹ × 13¹ × 23¹

Step-2: Prime Factorization of 4503

Prime factors of 4503 are 3, 19, 79. Prime factorization of 4503 in exponential form is:

4503 = 3¹ × 19¹ × 79¹

Step-3: Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495

Step-4: Factors of 4503

List of positive integer factors of 4503 that divides 4485 without a remainder.

1, 3, 19, 57, 79, 237, 1501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4485 and 4503. The biggest common factor number is the GCF number.
So the greatest common factor 4485 and 4503 is 3.

Also check out the Least Common Multiple of 4485 and 4503