What is the Greatest Common Factor of 29225 and 29235?

Greatest common factor (GCF) of 29225 and 29235 is 5.

GCF(29225,29235) = 5

We will now calculate the prime factors of 29225 and 29235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29225 and 29235.

How to find the GCF of 29225 and 29235?

We will first find the prime factorization of 29225 and 29235. After we will calculate the factors of 29225 and 29235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29235

Prime factors of 29235 are 3, 5, 1949. Prime factorization of 29235 in exponential form is:

29235 = 3¹ × 5¹ × 1949¹

Step-3: Factors of 29225

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

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

Step-4: Factors of 29235

List of positive integer factors of 29235 that divides 29225 without a remainder.

1, 3, 5, 15, 1949, 5847, 9745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29225 and 29235. The biggest common factor number is the GCF number.
So the greatest common factor 29225 and 29235 is 5.

Also check out the Least Common Multiple of 29225 and 29235