What is the Greatest Common Factor of 29029 and 29040?

Greatest common factor (GCF) of 29029 and 29040 is 11.

GCF(29029,29040) = 11

We will now calculate the prime factors of 29029 and 29040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29029 and 29040.

How to find the GCF of 29029 and 29040?

We will first find the prime factorization of 29029 and 29040. After we will calculate the factors of 29029 and 29040 and find the biggest common factor number .

Step-1: Prime Factorization of 29029

Prime factors of 29029 are 7, 11, 13, 29. Prime factorization of 29029 in exponential form is:

29029 = 7¹ × 11¹ × 13¹ × 29¹

Step-2: 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-3: Factors of 29029

List of positive integer factors of 29029 that divides 29029 without a remainder.

1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147

Step-4: Factors of 29040

List of positive integer factors of 29040 that divides 29029 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29029 and 29040. The biggest common factor number is the GCF number.
So the greatest common factor 29029 and 29040 is 11.

Also check out the Least Common Multiple of 29029 and 29040