What is the Greatest Common Factor of 29414 and 29429?

Greatest common factor (GCF) of 29414 and 29429 is 1.

GCF(29414,29429) = 1

We will now calculate the prime factors of 29414 and 29429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29414 and 29429.

How to find the GCF of 29414 and 29429?

We will first find the prime factorization of 29414 and 29429. After we will calculate the factors of 29414 and 29429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29429

Prime factors of 29429 are 29429. Prime factorization of 29429 in exponential form is:

29429 = 29429¹

Step-3: Factors of 29414

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

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

Step-4: Factors of 29429

List of positive integer factors of 29429 that divides 29414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29414 and 29429. The biggest common factor number is the GCF number.
So the greatest common factor 29414 and 29429 is 1.

Also check out the Least Common Multiple of 29414 and 29429