What is the Greatest Common Factor of 29345 and 29350?

Greatest common factor (GCF) of 29345 and 29350 is 5.

GCF(29345,29350) = 5

We will now calculate the prime factors of 29345 and 29350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29345 and 29350.

How to find the GCF of 29345 and 29350?

We will first find the prime factorization of 29345 and 29350. After we will calculate the factors of 29345 and 29350 and find the biggest common factor number .

Step-1: Prime Factorization of 29345

Prime factors of 29345 are 5, 5869. Prime factorization of 29345 in exponential form is:

29345 = 5¹ × 5869¹

Step-2: Prime Factorization of 29350

Prime factors of 29350 are 2, 5, 587. Prime factorization of 29350 in exponential form is:

29350 = 2¹ × 5² × 587¹

Step-3: Factors of 29345

List of positive integer factors of 29345 that divides 29345 without a remainder.

1, 5, 5869

Step-4: Factors of 29350

List of positive integer factors of 29350 that divides 29345 without a remainder.

1, 2, 5, 10, 25, 50, 587, 1174, 2935, 5870, 14675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29345 and 29350. The biggest common factor number is the GCF number.
So the greatest common factor 29345 and 29350 is 5.

Also check out the Least Common Multiple of 29345 and 29350