What is the Greatest Common Factor of 29088 and 29100?

Greatest common factor (GCF) of 29088 and 29100 is 12.

GCF(29088,29100) = 12

We will now calculate the prime factors of 29088 and 29100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29088 and 29100.

How to find the GCF of 29088 and 29100?

We will first find the prime factorization of 29088 and 29100. After we will calculate the factors of 29088 and 29100 and find the biggest common factor number .

Step-1: Prime Factorization of 29088

Prime factors of 29088 are 2, 3, 101. Prime factorization of 29088 in exponential form is:

29088 = 2⁵ × 3² × 101¹

Step-2: Prime Factorization of 29100

Prime factors of 29100 are 2, 3, 5, 97. Prime factorization of 29100 in exponential form is:

29100 = 2² × 3¹ × 5² × 97¹

Step-3: Factors of 29088

List of positive integer factors of 29088 that divides 29088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 101, 144, 202, 288, 303, 404, 606, 808, 909, 1212, 1616, 1818, 2424, 3232, 3636, 4848, 7272, 9696, 14544

Step-4: Factors of 29100

List of positive integer factors of 29100 that divides 29088 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 97, 100, 150, 194, 291, 300, 388, 485, 582, 970, 1164, 1455, 1940, 2425, 2910, 4850, 5820, 7275, 9700, 14550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29088 and 29100. The biggest common factor number is the GCF number.
So the greatest common factor 29088 and 29100 is 12.

Also check out the Least Common Multiple of 29088 and 29100