What is the Greatest Common Factor of 29250 and 29265?

Greatest common factor (GCF) of 29250 and 29265 is 15.

GCF(29250,29265) = 15

We will now calculate the prime factors of 29250 and 29265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29265.

How to find the GCF of 29250 and 29265?

We will first find the prime factorization of 29250 and 29265. After we will calculate the factors of 29250 and 29265 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 29265

Prime factors of 29265 are 3, 5, 1951. Prime factorization of 29265 in exponential form is:

29265 = 3¹ × 5¹ × 1951¹

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 29265

List of positive integer factors of 29265 that divides 29250 without a remainder.

1, 3, 5, 15, 1951, 5853, 9755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29265. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29265 is 15.

Also check out the Least Common Multiple of 29250 and 29265