What is the Greatest Common Factor of 29406 and 29414?

Greatest common factor (GCF) of 29406 and 29414 is 2.

GCF(29406,29414) = 2

We will now calculate the prime factors of 29406 and 29414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29406 and 29414.

How to find the GCF of 29406 and 29414?

We will first find the prime factorization of 29406 and 29414. After we will calculate the factors of 29406 and 29414 and find the biggest common factor number .

Step-1: Prime Factorization of 29406

Prime factors of 29406 are 2, 3, 13, 29. Prime factorization of 29406 in exponential form is:

29406 = 2¹ × 3¹ × 13² × 29¹

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 29406

List of positive integer factors of 29406 that divides 29406 without a remainder.

1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 169, 174, 338, 377, 507, 754, 1014, 1131, 2262, 4901, 9802, 14703

Step-4: Factors of 29414

List of positive integer factors of 29414 that divides 29406 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 29406 and 29414. The biggest common factor number is the GCF number.
So the greatest common factor 29406 and 29414 is 2.

Also check out the Least Common Multiple of 29406 and 29414