What is the Greatest Common Factor of 29250 and 29255?

Greatest common factor (GCF) of 29250 and 29255 is 5.

GCF(29250,29255) = 5

We will now calculate the prime factors of 29250 and 29255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29255.

How to find the GCF of 29250 and 29255?

We will first find the prime factorization of 29250 and 29255. After we will calculate the factors of 29250 and 29255 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 29255

Prime factors of 29255 are 5, 5851. Prime factorization of 29255 in exponential form is:

29255 = 5¹ × 5851¹

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 29255

List of positive integer factors of 29255 that divides 29250 without a remainder.

1, 5, 5851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29255. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29255 is 5.

Also check out the Least Common Multiple of 29250 and 29255