What is the Greatest Common Factor of 29250 and 29269?

Greatest common factor (GCF) of 29250 and 29269 is 1.

GCF(29250,29269) = 1

We will now calculate the prime factors of 29250 and 29269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29269.

How to find the GCF of 29250 and 29269?

We will first find the prime factorization of 29250 and 29269. After we will calculate the factors of 29250 and 29269 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 29269

Prime factors of 29269 are 29269. Prime factorization of 29269 in exponential form is:

29269 = 29269¹

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 29269

List of positive integer factors of 29269 that divides 29250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29269. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29269 is 1.

Also check out the Least Common Multiple of 29250 and 29269