What is the Greatest Common Factor of 29040 and 29049?

Greatest common factor (GCF) of 29040 and 29049 is 3.

GCF(29040,29049) = 3

We will now calculate the prime factors of 29040 and 29049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29049.

How to find the GCF of 29040 and 29049?

We will first find the prime factorization of 29040 and 29049. After we will calculate the factors of 29040 and 29049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29049

Prime factors of 29049 are 3, 23, 421. Prime factorization of 29049 in exponential form is:

29049 = 3¹ × 23¹ × 421¹

Step-3: Factors of 29040

List of positive integer factors of 29040 that divides 29040 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

Step-4: Factors of 29049

List of positive integer factors of 29049 that divides 29040 without a remainder.

1, 3, 23, 69, 421, 1263, 9683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29049. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29049 is 3.

Also check out the Least Common Multiple of 29040 and 29049