What is the Greatest Common Factor of 4506 and 4524?

Greatest common factor (GCF) of 4506 and 4524 is 6.

GCF(4506,4524) = 6

We will now calculate the prime factors of 4506 and 4524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4506 and 4524.

How to find the GCF of 4506 and 4524?

We will first find the prime factorization of 4506 and 4524. After we will calculate the factors of 4506 and 4524 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 4524

Prime factors of 4524 are 2, 3, 13, 29. Prime factorization of 4524 in exponential form is:

4524 = 2² × 3¹ × 13¹ × 29¹

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 4524

List of positive integer factors of 4524 that divides 4506 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4506 and 4524. The biggest common factor number is the GCF number.
So the greatest common factor 4506 and 4524 is 6.

Also check out the Least Common Multiple of 4506 and 4524