What is the Greatest Common Factor of 29104 and 29117?

Greatest common factor (GCF) of 29104 and 29117 is 1.

GCF(29104,29117) = 1

We will now calculate the prime factors of 29104 and 29117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29104 and 29117.

How to find the GCF of 29104 and 29117?

We will first find the prime factorization of 29104 and 29117. After we will calculate the factors of 29104 and 29117 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 29117

Prime factors of 29117 are 11, 2647. Prime factorization of 29117 in exponential form is:

29117 = 11¹ × 2647¹

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 29117

List of positive integer factors of 29117 that divides 29104 without a remainder.

1, 11, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29104 and 29117. The biggest common factor number is the GCF number.
So the greatest common factor 29104 and 29117 is 1.

Also check out the Least Common Multiple of 29104 and 29117