What is the Greatest Common Factor of 29298 and 29313?

Greatest common factor (GCF) of 29298 and 29313 is 3.

GCF(29298,29313) = 3

We will now calculate the prime factors of 29298 and 29313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29298 and 29313.

How to find the GCF of 29298 and 29313?

We will first find the prime factorization of 29298 and 29313. After we will calculate the factors of 29298 and 29313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29313

Prime factors of 29313 are 3, 3257. Prime factorization of 29313 in exponential form is:

29313 = 3² × 3257¹

Step-3: Factors of 29298

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

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

Step-4: Factors of 29313

List of positive integer factors of 29313 that divides 29298 without a remainder.

1, 3, 9, 3257, 9771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29298 and 29313. The biggest common factor number is the GCF number.
So the greatest common factor 29298 and 29313 is 3.

Also check out the Least Common Multiple of 29298 and 29313