What is the Greatest Common Factor of 29225 and 29230?

Greatest common factor (GCF) of 29225 and 29230 is 5.

GCF(29225,29230) = 5

We will now calculate the prime factors of 29225 and 29230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29225 and 29230.

How to find the GCF of 29225 and 29230?

We will first find the prime factorization of 29225 and 29230. After we will calculate the factors of 29225 and 29230 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 29230

Prime factors of 29230 are 2, 5, 37, 79. Prime factorization of 29230 in exponential form is:

29230 = 2¹ × 5¹ × 37¹ × 79¹

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 29230

List of positive integer factors of 29230 that divides 29225 without a remainder.

1, 2, 5, 10, 37, 74, 79, 158, 185, 370, 395, 790, 2923, 5846, 14615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29225 and 29230. The biggest common factor number is the GCF number.
So the greatest common factor 29225 and 29230 is 5.

Also check out the Least Common Multiple of 29225 and 29230