What is the Greatest Common Factor of 29016 and 29028?

Greatest common factor (GCF) of 29016 and 29028 is 12.

GCF(29016,29028) = 12

We will now calculate the prime factors of 29016 and 29028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29016 and 29028.

How to find the GCF of 29016 and 29028?

We will first find the prime factorization of 29016 and 29028. After we will calculate the factors of 29016 and 29028 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 29028

Prime factors of 29028 are 2, 3, 41, 59. Prime factorization of 29028 in exponential form is:

29028 = 2² × 3¹ × 41¹ × 59¹

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 29028

List of positive integer factors of 29028 that divides 29016 without a remainder.

1, 2, 3, 4, 6, 12, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 492, 708, 2419, 4838, 7257, 9676, 14514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29016 and 29028. The biggest common factor number is the GCF number.
So the greatest common factor 29016 and 29028 is 12.

Also check out the Least Common Multiple of 29016 and 29028