What is the Greatest Common Factor of 4532 and 4543?

Greatest common factor (GCF) of 4532 and 4543 is 11.

GCF(4532,4543) = 11

We will now calculate the prime factors of 4532 and 4543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4532 and 4543.

How to find the GCF of 4532 and 4543?

We will first find the prime factorization of 4532 and 4543. After we will calculate the factors of 4532 and 4543 and find the biggest common factor number .

Step-1: Prime Factorization of 4532

Prime factors of 4532 are 2, 11, 103. Prime factorization of 4532 in exponential form is:

4532 = 2² × 11¹ × 103¹

Step-2: Prime Factorization of 4543

Prime factors of 4543 are 7, 11, 59. Prime factorization of 4543 in exponential form is:

4543 = 7¹ × 11¹ × 59¹

Step-3: Factors of 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266

Step-4: Factors of 4543

List of positive integer factors of 4543 that divides 4532 without a remainder.

1, 7, 11, 59, 77, 413, 649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4532 and 4543. The biggest common factor number is the GCF number.
So the greatest common factor 4532 and 4543 is 11.

Also check out the Least Common Multiple of 4532 and 4543