What is the Greatest Common Factor of 29513 and 29524?

Greatest common factor (GCF) of 29513 and 29524 is 11.

GCF(29513,29524) = 11

We will now calculate the prime factors of 29513 and 29524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29513 and 29524.

How to find the GCF of 29513 and 29524?

We will first find the prime factorization of 29513 and 29524. After we will calculate the factors of 29513 and 29524 and find the biggest common factor number .

Step-1: Prime Factorization of 29513

Prime factors of 29513 are 11, 2683. Prime factorization of 29513 in exponential form is:

29513 = 11¹ × 2683¹

Step-2: 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-3: Factors of 29513

List of positive integer factors of 29513 that divides 29513 without a remainder.

1, 11, 2683

Step-4: Factors of 29524

List of positive integer factors of 29524 that divides 29513 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29513 and 29524. The biggest common factor number is the GCF number.
So the greatest common factor 29513 and 29524 is 11.

Also check out the Least Common Multiple of 29513 and 29524