What is the Greatest Common Factor of 29040 and 29053?

Greatest common factor (GCF) of 29040 and 29053 is 1.

GCF(29040,29053) = 1

We will now calculate the prime factors of 29040 and 29053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29053.

How to find the GCF of 29040 and 29053?

We will first find the prime factorization of 29040 and 29053. After we will calculate the factors of 29040 and 29053 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 29053

Prime factors of 29053 are 17, 1709. Prime factorization of 29053 in exponential form is:

29053 = 17¹ × 1709¹

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 29053

List of positive integer factors of 29053 that divides 29040 without a remainder.

1, 17, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29053. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29053 is 1.

Also check out the Least Common Multiple of 29040 and 29053