What is the Greatest Common Factor of 4506 and 4523?

Greatest common factor (GCF) of 4506 and 4523 is 1.

GCF(4506,4523) = 1

We will now calculate the prime factors of 4506 and 4523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4506 and 4523.

How to find the GCF of 4506 and 4523?

We will first find the prime factorization of 4506 and 4523. After we will calculate the factors of 4506 and 4523 and find the biggest common factor number .

Step-1: Prime Factorization of 4506

Prime factors of 4506 are 2, 3, 751. Prime factorization of 4506 in exponential form is:

4506 = 2¹ × 3¹ × 751¹

Step-2: Prime Factorization of 4523

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 4523¹

Step-3: Factors of 4506

List of positive integer factors of 4506 that divides 4506 without a remainder.

1, 2, 3, 6, 751, 1502, 2253

Step-4: Factors of 4523

List of positive integer factors of 4523 that divides 4506 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4506 and 4523. The biggest common factor number is the GCF number.
So the greatest common factor 4506 and 4523 is 1.

Also check out the Least Common Multiple of 4506 and 4523