What is the Greatest Common Factor of 4485 and 4497?

Greatest common factor (GCF) of 4485 and 4497 is 3.

GCF(4485,4497) = 3

We will now calculate the prime factors of 4485 and 4497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4485 and 4497.

How to find the GCF of 4485 and 4497?

We will first find the prime factorization of 4485 and 4497. After we will calculate the factors of 4485 and 4497 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 4497

Prime factors of 4497 are 3, 1499. Prime factorization of 4497 in exponential form is:

4497 = 3¹ × 1499¹

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 4497

List of positive integer factors of 4497 that divides 4485 without a remainder.

1, 3, 1499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4485 and 4497. The biggest common factor number is the GCF number.
So the greatest common factor 4485 and 4497 is 3.

Also check out the Least Common Multiple of 4485 and 4497