What is the Greatest Common Factor of 29378 and 29384?

Greatest common factor (GCF) of 29378 and 29384 is 2.

GCF(29378,29384) = 2

We will now calculate the prime factors of 29378 and 29384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29378 and 29384.

How to find the GCF of 29378 and 29384?

We will first find the prime factorization of 29378 and 29384. After we will calculate the factors of 29378 and 29384 and find the biggest common factor number .

Step-1: Prime Factorization of 29378

Prime factors of 29378 are 2, 37, 397. Prime factorization of 29378 in exponential form is:

29378 = 2¹ × 37¹ × 397¹

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 29378

List of positive integer factors of 29378 that divides 29378 without a remainder.

1, 2, 37, 74, 397, 794, 14689

Step-4: Factors of 29384

List of positive integer factors of 29384 that divides 29378 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29378 and 29384. The biggest common factor number is the GCF number.
So the greatest common factor 29378 and 29384 is 2.

Also check out the Least Common Multiple of 29378 and 29384