What is the Greatest Common Factor of 29408 and 29414?

Greatest common factor (GCF) of 29408 and 29414 is 2.

GCF(29408,29414) = 2

We will now calculate the prime factors of 29408 and 29414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29408 and 29414.

How to find the GCF of 29408 and 29414?

We will first find the prime factorization of 29408 and 29414. After we will calculate the factors of 29408 and 29414 and find the biggest common factor number .

Step-1: Prime Factorization of 29408

Prime factors of 29408 are 2, 919. Prime factorization of 29408 in exponential form is:

29408 = 2⁵ × 919¹

Step-2: Prime Factorization of 29414

Prime factors of 29414 are 2, 7, 11, 191. Prime factorization of 29414 in exponential form is:

29414 = 2¹ × 7¹ × 11¹ × 191¹

Step-3: Factors of 29408

List of positive integer factors of 29408 that divides 29408 without a remainder.

1, 2, 4, 8, 16, 32, 919, 1838, 3676, 7352, 14704

Step-4: Factors of 29414

List of positive integer factors of 29414 that divides 29408 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 191, 382, 1337, 2101, 2674, 4202, 14707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29408 and 29414. The biggest common factor number is the GCF number.
So the greatest common factor 29408 and 29414 is 2.

Also check out the Least Common Multiple of 29408 and 29414