What is the Greatest Common Factor of 29019 and 29025?

Greatest common factor (GCF) of 29019 and 29025 is 3.

GCF(29019,29025) = 3

We will now calculate the prime factors of 29019 and 29025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29019 and 29025.

How to find the GCF of 29019 and 29025?

We will first find the prime factorization of 29019 and 29025. After we will calculate the factors of 29019 and 29025 and find the biggest common factor number .

Step-1: Prime Factorization of 29019

Prime factors of 29019 are 3, 17, 569. Prime factorization of 29019 in exponential form is:

29019 = 3¹ × 17¹ × 569¹

Step-2: 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-3: Factors of 29019

List of positive integer factors of 29019 that divides 29019 without a remainder.

1, 3, 17, 51, 569, 1707, 9673

Step-4: Factors of 29025

List of positive integer factors of 29025 that divides 29019 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29019 and 29025. The biggest common factor number is the GCF number.
So the greatest common factor 29019 and 29025 is 3.

Also check out the Least Common Multiple of 29019 and 29025