What is the Greatest Common Factor of 29375 and 29384?

Greatest common factor (GCF) of 29375 and 29384 is 1.

GCF(29375,29384) = 1

We will now calculate the prime factors of 29375 and 29384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29375 and 29384.

How to find the GCF of 29375 and 29384?

We will first find the prime factorization of 29375 and 29384. After we will calculate the factors of 29375 and 29384 and find the biggest common factor number .

Step-1: Prime Factorization of 29375

Prime factors of 29375 are 5, 47. Prime factorization of 29375 in exponential form is:

29375 = 5⁴ × 47¹

Step-2: Prime Factorization of 29384

Prime factors of 29384 are 2, 3673. Prime factorization of 29384 in exponential form is:

29384 = 2³ × 3673¹

Step-3: Factors of 29375

List of positive integer factors of 29375 that divides 29375 without a remainder.

1, 5, 25, 47, 125, 235, 625, 1175, 5875

Step-4: Factors of 29384

List of positive integer factors of 29384 that divides 29375 without a remainder.

1, 2, 4, 8, 3673, 7346, 14692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29375 and 29384. The biggest common factor number is the GCF number.
So the greatest common factor 29375 and 29384 is 1.

Also check out the Least Common Multiple of 29375 and 29384