What is the Greatest Common Factor of 29025 and 29045?

Greatest common factor (GCF) of 29025 and 29045 is 5.

GCF(29025,29045) = 5

We will now calculate the prime factors of 29025 and 29045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29025 and 29045.

How to find the GCF of 29025 and 29045?

We will first find the prime factorization of 29025 and 29045. After we will calculate the factors of 29025 and 29045 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 29045

Prime factors of 29045 are 5, 37, 157. Prime factorization of 29045 in exponential form is:

29045 = 5¹ × 37¹ × 157¹

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 29045

List of positive integer factors of 29045 that divides 29025 without a remainder.

1, 5, 37, 157, 185, 785, 5809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29025 and 29045. The biggest common factor number is the GCF number.
So the greatest common factor 29025 and 29045 is 5.

Also check out the Least Common Multiple of 29025 and 29045