What is the Greatest Common Factor of 29100 and 29115?

Greatest common factor (GCF) of 29100 and 29115 is 15.

GCF(29100,29115) = 15

We will now calculate the prime factors of 29100 and 29115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29100 and 29115.

How to find the GCF of 29100 and 29115?

We will first find the prime factorization of 29100 and 29115. After we will calculate the factors of 29100 and 29115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29115

Prime factors of 29115 are 3, 5, 647. Prime factorization of 29115 in exponential form is:

29115 = 3² × 5¹ × 647¹

Step-3: Factors of 29100

List of positive integer factors of 29100 that divides 29100 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

Step-4: Factors of 29115

List of positive integer factors of 29115 that divides 29100 without a remainder.

1, 3, 5, 9, 15, 45, 647, 1941, 3235, 5823, 9705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29100 and 29115. The biggest common factor number is the GCF number.
So the greatest common factor 29100 and 29115 is 15.

Also check out the Least Common Multiple of 29100 and 29115