What is the Greatest Common Factor of 29348 and 29366?

Greatest common factor (GCF) of 29348 and 29366 is 2.

GCF(29348,29366) = 2

We will now calculate the prime factors of 29348 and 29366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29348 and 29366.

How to find the GCF of 29348 and 29366?

We will first find the prime factorization of 29348 and 29366. After we will calculate the factors of 29348 and 29366 and find the biggest common factor number .

Step-1: Prime Factorization of 29348

Prime factors of 29348 are 2, 11, 23, 29. Prime factorization of 29348 in exponential form is:

29348 = 2² × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 29366

Prime factors of 29366 are 2, 14683. Prime factorization of 29366 in exponential form is:

29366 = 2¹ × 14683¹

Step-3: Factors of 29348

List of positive integer factors of 29348 that divides 29348 without a remainder.

1, 2, 4, 11, 22, 23, 29, 44, 46, 58, 92, 116, 253, 319, 506, 638, 667, 1012, 1276, 1334, 2668, 7337, 14674

Step-4: Factors of 29366

List of positive integer factors of 29366 that divides 29348 without a remainder.

1, 2, 14683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29348 and 29366. The biggest common factor number is the GCF number.
So the greatest common factor 29348 and 29366 is 2.

Also check out the Least Common Multiple of 29348 and 29366