What is the Greatest Common Factor of 29025 and 29030?

Greatest common factor (GCF) of 29025 and 29030 is 5.

GCF(29025,29030) = 5

We will now calculate the prime factors of 29025 and 29030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29025 and 29030.

How to find the GCF of 29025 and 29030?

We will first find the prime factorization of 29025 and 29030. After we will calculate the factors of 29025 and 29030 and find the biggest common factor number .

Step-1: Prime Factorization of 29025

Prime factors of 29025 are 3, 5, 43. Prime factorization of 29025 in exponential form is:

29025 = 3³ × 5² × 43¹

Step-2: Prime Factorization of 29030

Prime factors of 29030 are 2, 5, 2903. Prime factorization of 29030 in exponential form is:

29030 = 2¹ × 5¹ × 2903¹

Step-3: Factors of 29025

List of positive integer factors of 29025 that divides 29025 without a remainder.

1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 129, 135, 215, 225, 387, 645, 675, 1075, 1161, 1935, 3225, 5805, 9675

Step-4: Factors of 29030

List of positive integer factors of 29030 that divides 29025 without a remainder.

1, 2, 5, 10, 2903, 5806, 14515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29025 and 29030. The biggest common factor number is the GCF number.
So the greatest common factor 29025 and 29030 is 5.

Also check out the Least Common Multiple of 29025 and 29030