What is the Greatest Common Factor of 29342 and 29360?

Greatest common factor (GCF) of 29342 and 29360 is 2.

GCF(29342,29360) = 2

We will now calculate the prime factors of 29342 and 29360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29342 and 29360.

How to find the GCF of 29342 and 29360?

We will first find the prime factorization of 29342 and 29360. After we will calculate the factors of 29342 and 29360 and find the biggest common factor number .

Step-1: Prime Factorization of 29342

Prime factors of 29342 are 2, 17, 863. Prime factorization of 29342 in exponential form is:

29342 = 2¹ × 17¹ × 863¹

Step-2: Prime Factorization of 29360

Prime factors of 29360 are 2, 5, 367. Prime factorization of 29360 in exponential form is:

29360 = 2⁴ × 5¹ × 367¹

Step-3: Factors of 29342

List of positive integer factors of 29342 that divides 29342 without a remainder.

1, 2, 17, 34, 863, 1726, 14671

Step-4: Factors of 29360

List of positive integer factors of 29360 that divides 29342 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 367, 734, 1468, 1835, 2936, 3670, 5872, 7340, 14680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29342 and 29360. The biggest common factor number is the GCF number.
So the greatest common factor 29342 and 29360 is 2.

Also check out the Least Common Multiple of 29342 and 29360