What is the Greatest Common Factor of 29524 and 29538?

Greatest common factor (GCF) of 29524 and 29538 is 2.

GCF(29524,29538) = 2

We will now calculate the prime factors of 29524 and 29538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29524 and 29538.

How to find the GCF of 29524 and 29538?

We will first find the prime factorization of 29524 and 29538. After we will calculate the factors of 29524 and 29538 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 29538

Prime factors of 29538 are 2, 3, 547. Prime factorization of 29538 in exponential form is:

29538 = 2¹ × 3³ × 547¹

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 29538

List of positive integer factors of 29538 that divides 29524 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 547, 1094, 1641, 3282, 4923, 9846, 14769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29524 and 29538. The biggest common factor number is the GCF number.
So the greatest common factor 29524 and 29538 is 2.

Also check out the Least Common Multiple of 29524 and 29538