What is the Greatest Common Factor of 29016 and 29026?

Greatest common factor (GCF) of 29016 and 29026 is 2.

GCF(29016,29026) = 2

We will now calculate the prime factors of 29016 and 29026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29016 and 29026.

How to find the GCF of 29016 and 29026?

We will first find the prime factorization of 29016 and 29026. After we will calculate the factors of 29016 and 29026 and find the biggest common factor number .

Step-1: Prime Factorization of 29016

Prime factors of 29016 are 2, 3, 13, 31. Prime factorization of 29016 in exponential form is:

29016 = 2³ × 3² × 13¹ × 31¹

Step-2: 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-3: Factors of 29016

List of positive integer factors of 29016 that divides 29016 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52, 62, 72, 78, 93, 104, 117, 124, 156, 186, 234, 248, 279, 312, 372, 403, 468, 558, 744, 806, 936, 1116, 1209, 1612, 2232, 2418, 3224, 3627, 4836, 7254, 9672, 14508

Step-4: Factors of 29026

List of positive integer factors of 29026 that divides 29016 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29016 and 29026. The biggest common factor number is the GCF number.
So the greatest common factor 29016 and 29026 is 2.

Also check out the Least Common Multiple of 29016 and 29026