What is the Greatest Common Factor of 29040 and 29045?

Greatest common factor (GCF) of 29040 and 29045 is 5.

GCF(29040,29045) = 5

We will now calculate the prime factors of 29040 and 29045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29045.

How to find the GCF of 29040 and 29045?

We will first find the prime factorization of 29040 and 29045. After we will calculate the factors of 29040 and 29045 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 29045

Prime factors of 29045 are 5, 37, 157. Prime factorization of 29045 in exponential form is:

29045 = 5¹ × 37¹ × 157¹

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 29045

List of positive integer factors of 29045 that divides 29040 without a remainder.

1, 5, 37, 157, 185, 785, 5809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29045. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29045 is 5.

Also check out the Least Common Multiple of 29040 and 29045