What is the Greatest Common Factor of 4524 and 4544?

Greatest common factor (GCF) of 4524 and 4544 is 4.

GCF(4524,4544) = 4

We will now calculate the prime factors of 4524 and 4544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4524 and 4544.

How to find the GCF of 4524 and 4544?

We will first find the prime factorization of 4524 and 4544. After we will calculate the factors of 4524 and 4544 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4544

Prime factors of 4544 are 2, 71. Prime factorization of 4544 in exponential form is:

4544 = 2⁶ × 71¹

Step-3: Factors of 4524

List of positive integer factors of 4524 that divides 4524 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

Step-4: Factors of 4544

List of positive integer factors of 4544 that divides 4524 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4524 and 4544. The biggest common factor number is the GCF number.
So the greatest common factor 4524 and 4544 is 4.

Also check out the Least Common Multiple of 4524 and 4544