What is the Greatest Common Factor of 29040 and 29047?

Greatest common factor (GCF) of 29040 and 29047 is 1.

GCF(29040,29047) = 1

We will now calculate the prime factors of 29040 and 29047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29047.

How to find the GCF of 29040 and 29047?

We will first find the prime factorization of 29040 and 29047. After we will calculate the factors of 29040 and 29047 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 29047

Prime factors of 29047 are 31, 937. Prime factorization of 29047 in exponential form is:

29047 = 31¹ × 937¹

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 29047

List of positive integer factors of 29047 that divides 29040 without a remainder.

1, 31, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29047. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29047 is 1.

Also check out the Least Common Multiple of 29040 and 29047