What is the Greatest Common Factor of 29414 and 29424?

Greatest common factor (GCF) of 29414 and 29424 is 2.

GCF(29414,29424) = 2

We will now calculate the prime factors of 29414 and 29424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29414 and 29424.

How to find the GCF of 29414 and 29424?

We will first find the prime factorization of 29414 and 29424. After we will calculate the factors of 29414 and 29424 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 29424

Prime factors of 29424 are 2, 3, 613. Prime factorization of 29424 in exponential form is:

29424 = 2⁴ × 3¹ × 613¹

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 29424

List of positive integer factors of 29424 that divides 29414 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29414 and 29424. The biggest common factor number is the GCF number.
So the greatest common factor 29414 and 29424 is 2.

Also check out the Least Common Multiple of 29414 and 29424