What is the Greatest Common Factor of 29040 and 29060?

Greatest common factor (GCF) of 29040 and 29060 is 20.

GCF(29040,29060) = 20

We will now calculate the prime factors of 29040 and 29060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29060.

How to find the GCF of 29040 and 29060?

We will first find the prime factorization of 29040 and 29060. After we will calculate the factors of 29040 and 29060 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 29060

Prime factors of 29060 are 2, 5, 1453. Prime factorization of 29060 in exponential form is:

29060 = 2² × 5¹ × 1453¹

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 29060

List of positive integer factors of 29060 that divides 29040 without a remainder.

1, 2, 4, 5, 10, 20, 1453, 2906, 5812, 7265, 14530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29060. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29060 is 20.

Also check out the Least Common Multiple of 29040 and 29060