What is the Greatest Common Factor of 29215 and 29225?

Greatest common factor (GCF) of 29215 and 29225 is 5.

GCF(29215,29225) = 5

We will now calculate the prime factors of 29215 and 29225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29215 and 29225.

How to find the GCF of 29215 and 29225?

We will first find the prime factorization of 29215 and 29225. After we will calculate the factors of 29215 and 29225 and find the biggest common factor number .

Step-1: Prime Factorization of 29215

Prime factors of 29215 are 5, 5843. Prime factorization of 29215 in exponential form is:

29215 = 5¹ × 5843¹

Step-2: Prime Factorization of 29225

Prime factors of 29225 are 5, 7, 167. Prime factorization of 29225 in exponential form is:

29225 = 5² × 7¹ × 167¹

Step-3: Factors of 29215

List of positive integer factors of 29215 that divides 29215 without a remainder.

1, 5, 5843

Step-4: Factors of 29225

List of positive integer factors of 29225 that divides 29215 without a remainder.

1, 5, 7, 25, 35, 167, 175, 835, 1169, 4175, 5845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29215 and 29225. The biggest common factor number is the GCF number.
So the greatest common factor 29215 and 29225 is 5.

Also check out the Least Common Multiple of 29215 and 29225