What is the Greatest Common Factor of 29040 and 29046?

Greatest common factor (GCF) of 29040 and 29046 is 6.

GCF(29040,29046) = 6

We will now calculate the prime factors of 29040 and 29046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29040 and 29046.

How to find the GCF of 29040 and 29046?

We will first find the prime factorization of 29040 and 29046. After we will calculate the factors of 29040 and 29046 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 29046

Prime factors of 29046 are 2, 3, 47, 103. Prime factorization of 29046 in exponential form is:

29046 = 2¹ × 3¹ × 47¹ × 103¹

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 29046

List of positive integer factors of 29046 that divides 29040 without a remainder.

1, 2, 3, 6, 47, 94, 103, 141, 206, 282, 309, 618, 4841, 9682, 14523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29040 and 29046. The biggest common factor number is the GCF number.
So the greatest common factor 29040 and 29046 is 6.

Also check out the Least Common Multiple of 29040 and 29046