What is the Greatest Common Factor of 29025 and 29040?

Greatest common factor (GCF) of 29025 and 29040 is 15.

GCF(29025,29040) = 15

We will now calculate the prime factors of 29025 and 29040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29025 and 29040.

How to find the GCF of 29025 and 29040?

We will first find the prime factorization of 29025 and 29040. After we will calculate the factors of 29025 and 29040 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 29040

Prime factors of 29040 are 2, 3, 5, 11. Prime factorization of 29040 in exponential form is:

29040 = 2⁴ × 3¹ × 5¹ × 11²

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 29040

List of positive integer factors of 29040 that divides 29025 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 121, 132, 165, 176, 220, 240, 242, 264, 330, 363, 440, 484, 528, 605, 660, 726, 880, 968, 1210, 1320, 1452, 1815, 1936, 2420, 2640, 2904, 3630, 4840, 5808, 7260, 9680, 14520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29025 and 29040. The biggest common factor number is the GCF number.
So the greatest common factor 29025 and 29040 is 15.

Also check out the Least Common Multiple of 29025 and 29040