What is the Greatest Common Factor of 29524 and 29543?

Greatest common factor (GCF) of 29524 and 29543 is 1.

GCF(29524,29543) = 1

We will now calculate the prime factors of 29524 and 29543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29524 and 29543.

How to find the GCF of 29524 and 29543?

We will first find the prime factorization of 29524 and 29543. After we will calculate the factors of 29524 and 29543 and find the biggest common factor number .

Step-1: Prime Factorization of 29524

Prime factors of 29524 are 2, 11, 61. Prime factorization of 29524 in exponential form is:

29524 = 2² × 11² × 61¹

Step-2: Prime Factorization of 29543

Prime factors of 29543 are 31, 953. Prime factorization of 29543 in exponential form is:

29543 = 31¹ × 953¹

Step-3: Factors of 29524

List of positive integer factors of 29524 that divides 29524 without a remainder.

1, 2, 4, 11, 22, 44, 61, 121, 122, 242, 244, 484, 671, 1342, 2684, 7381, 14762

Step-4: Factors of 29543

List of positive integer factors of 29543 that divides 29524 without a remainder.

1, 31, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29524 and 29543. The biggest common factor number is the GCF number.
So the greatest common factor 29524 and 29543 is 1.

Also check out the Least Common Multiple of 29524 and 29543