What is the Greatest Common Factor of 29414 and 29420?

Greatest common factor (GCF) of 29414 and 29420 is 2.

GCF(29414,29420) = 2

We will now calculate the prime factors of 29414 and 29420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29414 and 29420.

How to find the GCF of 29414 and 29420?

We will first find the prime factorization of 29414 and 29420. After we will calculate the factors of 29414 and 29420 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 29420

Prime factors of 29420 are 2, 5, 1471. Prime factorization of 29420 in exponential form is:

29420 = 2² × 5¹ × 1471¹

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 29420

List of positive integer factors of 29420 that divides 29414 without a remainder.

1, 2, 4, 5, 10, 20, 1471, 2942, 5884, 7355, 14710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29414 and 29420. The biggest common factor number is the GCF number.
So the greatest common factor 29414 and 29420 is 2.

Also check out the Least Common Multiple of 29414 and 29420