What is the Greatest Common Factor of 29026 and 29040?

Greatest common factor (GCF) of 29026 and 29040 is 2.

GCF(29026,29040) = 2

We will now calculate the prime factors of 29026 and 29040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29026 and 29040.

How to find the GCF of 29026 and 29040?

We will first find the prime factorization of 29026 and 29040. After we will calculate the factors of 29026 and 29040 and find the biggest common factor number .

Step-1: Prime Factorization of 29026

Prime factors of 29026 are 2, 23, 631. Prime factorization of 29026 in exponential form is:

29026 = 2¹ × 23¹ × 631¹

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 29026

List of positive integer factors of 29026 that divides 29026 without a remainder.

1, 2, 23, 46, 631, 1262, 14513

Step-4: Factors of 29040

List of positive integer factors of 29040 that divides 29026 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 29026 and 29040. The biggest common factor number is the GCF number.
So the greatest common factor 29026 and 29040 is 2.

Also check out the Least Common Multiple of 29026 and 29040