What is the Greatest Common Factor of 29002 and 29016?

Greatest common factor (GCF) of 29002 and 29016 is 2.

GCF(29002,29016) = 2

We will now calculate the prime factors of 29002 and 29016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29002 and 29016.

How to find the GCF of 29002 and 29016?

We will first find the prime factorization of 29002 and 29016. After we will calculate the factors of 29002 and 29016 and find the biggest common factor number .

Step-1: Prime Factorization of 29002

Prime factors of 29002 are 2, 17, 853. Prime factorization of 29002 in exponential form is:

29002 = 2¹ × 17¹ × 853¹

Step-2: 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-3: Factors of 29002

List of positive integer factors of 29002 that divides 29002 without a remainder.

1, 2, 17, 34, 853, 1706, 14501

Step-4: Factors of 29016

List of positive integer factors of 29016 that divides 29002 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29002 and 29016. The biggest common factor number is the GCF number.
So the greatest common factor 29002 and 29016 is 2.

Also check out the Least Common Multiple of 29002 and 29016