What is the Greatest Common Factor of 29254 and 29268?

Greatest common factor (GCF) of 29254 and 29268 is 2.

GCF(29254,29268) = 2

We will now calculate the prime factors of 29254 and 29268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29254 and 29268.

How to find the GCF of 29254 and 29268?

We will first find the prime factorization of 29254 and 29268. After we will calculate the factors of 29254 and 29268 and find the biggest common factor number .

Step-1: Prime Factorization of 29254

Prime factors of 29254 are 2, 14627. Prime factorization of 29254 in exponential form is:

29254 = 2¹ × 14627¹

Step-2: Prime Factorization of 29268

Prime factors of 29268 are 2, 3, 271. Prime factorization of 29268 in exponential form is:

29268 = 2² × 3³ × 271¹

Step-3: Factors of 29254

List of positive integer factors of 29254 that divides 29254 without a remainder.

1, 2, 14627

Step-4: Factors of 29268

List of positive integer factors of 29268 that divides 29254 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 7317, 9756, 14634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29254 and 29268. The biggest common factor number is the GCF number.
So the greatest common factor 29254 and 29268 is 2.

Also check out the Least Common Multiple of 29254 and 29268