What is the Greatest Common Factor of 29250 and 29268?

Greatest common factor (GCF) of 29250 and 29268 is 18.

GCF(29250,29268) = 18

We will now calculate the prime factors of 29250 and 29268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29268.

How to find the GCF of 29250 and 29268?

We will first find the prime factorization of 29250 and 29268. After we will calculate the factors of 29250 and 29268 and find the biggest common factor number .

Step-1: Prime Factorization of 29250

Prime factors of 29250 are 2, 3, 5, 13. Prime factorization of 29250 in exponential form is:

29250 = 2¹ × 3² × 5³ × 13¹

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 29250

List of positive integer factors of 29250 that divides 29250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 125, 130, 150, 195, 225, 234, 250, 325, 375, 390, 450, 585, 650, 750, 975, 1125, 1170, 1625, 1950, 2250, 2925, 3250, 4875, 5850, 9750, 14625

Step-4: Factors of 29268

List of positive integer factors of 29268 that divides 29250 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 29250 and 29268. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29268 is 18.

Also check out the Least Common Multiple of 29250 and 29268