What is the Greatest Common Factor of 29250 and 29260?

Greatest common factor (GCF) of 29250 and 29260 is 10.

GCF(29250,29260) = 10

We will now calculate the prime factors of 29250 and 29260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29260.

How to find the GCF of 29250 and 29260?

We will first find the prime factorization of 29250 and 29260. After we will calculate the factors of 29250 and 29260 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 29260

Prime factors of 29260 are 2, 5, 7, 11, 19. Prime factorization of 29260 in exponential form is:

29260 = 2² × 5¹ × 7¹ × 11¹ × 19¹

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 29260

List of positive integer factors of 29260 that divides 29250 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 19, 20, 22, 28, 35, 38, 44, 55, 70, 76, 77, 95, 110, 133, 140, 154, 190, 209, 220, 266, 308, 380, 385, 418, 532, 665, 770, 836, 1045, 1330, 1463, 1540, 2090, 2660, 2926, 4180, 5852, 7315, 14630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29260. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29260 is 10.

Also check out the Least Common Multiple of 29250 and 29260