What is the Greatest Common Factor of 29504 and 29524?

Greatest common factor (GCF) of 29504 and 29524 is 4.

GCF(29504,29524) = 4

We will now calculate the prime factors of 29504 and 29524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29504 and 29524.

How to find the GCF of 29504 and 29524?

We will first find the prime factorization of 29504 and 29524. After we will calculate the factors of 29504 and 29524 and find the biggest common factor number .

Step-1: Prime Factorization of 29504

Prime factors of 29504 are 2, 461. Prime factorization of 29504 in exponential form is:

29504 = 2⁶ × 461¹

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 29504

List of positive integer factors of 29504 that divides 29504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 461, 922, 1844, 3688, 7376, 14752

Step-4: Factors of 29524

List of positive integer factors of 29524 that divides 29504 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 29504 and 29524. The biggest common factor number is the GCF number.
So the greatest common factor 29504 and 29524 is 4.

Also check out the Least Common Multiple of 29504 and 29524