What is the Greatest Common Factor of 29248 and 29266?

Greatest common factor (GCF) of 29248 and 29266 is 2.

GCF(29248,29266) = 2

We will now calculate the prime factors of 29248 and 29266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29248 and 29266.

How to find the GCF of 29248 and 29266?

We will first find the prime factorization of 29248 and 29266. After we will calculate the factors of 29248 and 29266 and find the biggest common factor number .

Step-1: Prime Factorization of 29248

Prime factors of 29248 are 2, 457. Prime factorization of 29248 in exponential form is:

29248 = 2⁶ × 457¹

Step-2: Prime Factorization of 29266

Prime factors of 29266 are 2, 14633. Prime factorization of 29266 in exponential form is:

29266 = 2¹ × 14633¹

Step-3: Factors of 29248

List of positive integer factors of 29248 that divides 29248 without a remainder.

1, 2, 4, 8, 16, 32, 64, 457, 914, 1828, 3656, 7312, 14624

Step-4: Factors of 29266

List of positive integer factors of 29266 that divides 29248 without a remainder.

1, 2, 14633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29248 and 29266. The biggest common factor number is the GCF number.
So the greatest common factor 29248 and 29266 is 2.

Also check out the Least Common Multiple of 29248 and 29266