What is the Greatest Common Factor of 29040 and 29052?

Greatest common factor (GCF) of 29040 and 29052 is 12.

GCF(29040,29052) = 12

We will now calculate the prime factors of 29040 and 29052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29052.

How to find the GCF of 29040 and 29052?

We will first find the prime factorization of 29040 and 29052. After we will calculate the factors of 29040 and 29052 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 29052

Prime factors of 29052 are 2, 3, 269. Prime factorization of 29052 in exponential form is:

29052 = 2² × 3³ × 269¹

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 29052

List of positive integer factors of 29052 that divides 29040 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 7263, 9684, 14526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29052. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29052 is 12.

Also check out the Least Common Multiple of 29040 and 29052