What is the Greatest Common Factor of 29512 and 29529?

Greatest common factor (GCF) of 29512 and 29529 is 17.

GCF(29512,29529) = 17

We will now calculate the prime factors of 29512 and 29529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29512 and 29529.

How to find the GCF of 29512 and 29529?

We will first find the prime factorization of 29512 and 29529. After we will calculate the factors of 29512 and 29529 and find the biggest common factor number .

Step-1: Prime Factorization of 29512

Prime factors of 29512 are 2, 7, 17, 31. Prime factorization of 29512 in exponential form is:

29512 = 2³ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 29529

Prime factors of 29529 are 3, 17, 193. Prime factorization of 29529 in exponential form is:

29529 = 3² × 17¹ × 193¹

Step-3: Factors of 29512

List of positive integer factors of 29512 that divides 29512 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 31, 34, 56, 62, 68, 119, 124, 136, 217, 238, 248, 434, 476, 527, 868, 952, 1054, 1736, 2108, 3689, 4216, 7378, 14756

Step-4: Factors of 29529

List of positive integer factors of 29529 that divides 29512 without a remainder.

1, 3, 9, 17, 51, 153, 193, 579, 1737, 3281, 9843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29512 and 29529. The biggest common factor number is the GCF number.
So the greatest common factor 29512 and 29529 is 17.

Also check out the Least Common Multiple of 29512 and 29529