What is the Greatest Common Factor of 29250 and 29256?

Greatest common factor (GCF) of 29250 and 29256 is 6.

GCF(29250,29256) = 6

We will now calculate the prime factors of 29250 and 29256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29256.

How to find the GCF of 29250 and 29256?

We will first find the prime factorization of 29250 and 29256. After we will calculate the factors of 29250 and 29256 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 29256

Prime factors of 29256 are 2, 3, 23, 53. Prime factorization of 29256 in exponential form is:

29256 = 2³ × 3¹ × 23¹ × 53¹

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 29256

List of positive integer factors of 29256 that divides 29250 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 53, 69, 92, 106, 138, 159, 184, 212, 276, 318, 424, 552, 636, 1219, 1272, 2438, 3657, 4876, 7314, 9752, 14628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29256. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29256 is 6.

Also check out the Least Common Multiple of 29250 and 29256