What is the Greatest Common Factor of 29524 and 29535?

Greatest common factor (GCF) of 29524 and 29535 is 11.

GCF(29524,29535) = 11

We will now calculate the prime factors of 29524 and 29535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29524 and 29535.

How to find the GCF of 29524 and 29535?

We will first find the prime factorization of 29524 and 29535. After we will calculate the factors of 29524 and 29535 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 29535

Prime factors of 29535 are 3, 5, 11, 179. Prime factorization of 29535 in exponential form is:

29535 = 3¹ × 5¹ × 11¹ × 179¹

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 29535

List of positive integer factors of 29535 that divides 29524 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 179, 537, 895, 1969, 2685, 5907, 9845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29524 and 29535. The biggest common factor number is the GCF number.
So the greatest common factor 29524 and 29535 is 11.

Also check out the Least Common Multiple of 29524 and 29535