What is the Greatest Common Factor of 29289 and 29298?

Greatest common factor (GCF) of 29289 and 29298 is 3.

GCF(29289,29298) = 3

We will now calculate the prime factors of 29289 and 29298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29289 and 29298.

How to find the GCF of 29289 and 29298?

We will first find the prime factorization of 29289 and 29298. After we will calculate the factors of 29289 and 29298 and find the biggest common factor number .

Step-1: Prime Factorization of 29289

Prime factors of 29289 are 3, 13, 751. Prime factorization of 29289 in exponential form is:

29289 = 3¹ × 13¹ × 751¹

Step-2: Prime Factorization of 29298

Prime factors of 29298 are 2, 3, 19, 257. Prime factorization of 29298 in exponential form is:

29298 = 2¹ × 3¹ × 19¹ × 257¹

Step-3: Factors of 29289

List of positive integer factors of 29289 that divides 29289 without a remainder.

1, 3, 13, 39, 751, 2253, 9763

Step-4: Factors of 29298

List of positive integer factors of 29298 that divides 29289 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 257, 514, 771, 1542, 4883, 9766, 14649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29289 and 29298. The biggest common factor number is the GCF number.
So the greatest common factor 29289 and 29298 is 3.

Also check out the Least Common Multiple of 29289 and 29298