What is the Greatest Common Factor of 29095 and 29100?

Greatest common factor (GCF) of 29095 and 29100 is 5.

GCF(29095,29100) = 5

We will now calculate the prime factors of 29095 and 29100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29095 and 29100.

How to find the GCF of 29095 and 29100?

We will first find the prime factorization of 29095 and 29100. After we will calculate the factors of 29095 and 29100 and find the biggest common factor number .

Step-1: Prime Factorization of 29095

Prime factors of 29095 are 5, 11, 23. Prime factorization of 29095 in exponential form is:

29095 = 5¹ × 11¹ × 23²

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 29095

List of positive integer factors of 29095 that divides 29095 without a remainder.

1, 5, 11, 23, 55, 115, 253, 529, 1265, 2645, 5819

Step-4: Factors of 29100

List of positive integer factors of 29100 that divides 29095 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 29095 and 29100. The biggest common factor number is the GCF number.
So the greatest common factor 29095 and 29100 is 5.

Also check out the Least Common Multiple of 29095 and 29100