What is the Greatest Common Factor of 29104 and 29122?

Greatest common factor (GCF) of 29104 and 29122 is 2.

GCF(29104,29122) = 2

We will now calculate the prime factors of 29104 and 29122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29104 and 29122.

How to find the GCF of 29104 and 29122?

We will first find the prime factorization of 29104 and 29122. After we will calculate the factors of 29104 and 29122 and find the biggest common factor number .

Step-1: Prime Factorization of 29104

Prime factors of 29104 are 2, 17, 107. Prime factorization of 29104 in exponential form is:

29104 = 2⁴ × 17¹ × 107¹

Step-2: Prime Factorization of 29122

Prime factors of 29122 are 2, 14561. Prime factorization of 29122 in exponential form is:

29122 = 2¹ × 14561¹

Step-3: Factors of 29104

List of positive integer factors of 29104 that divides 29104 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 107, 136, 214, 272, 428, 856, 1712, 1819, 3638, 7276, 14552

Step-4: Factors of 29122

List of positive integer factors of 29122 that divides 29104 without a remainder.

1, 2, 14561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29104 and 29122. The biggest common factor number is the GCF number.
So the greatest common factor 29104 and 29122 is 2.

Also check out the Least Common Multiple of 29104 and 29122