What is the Greatest Common Factor of 29250 and 29270?

Greatest common factor (GCF) of 29250 and 29270 is 10.

GCF(29250,29270) = 10

We will now calculate the prime factors of 29250 and 29270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29250 and 29270.

How to find the GCF of 29250 and 29270?

We will first find the prime factorization of 29250 and 29270. After we will calculate the factors of 29250 and 29270 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 29270

Prime factors of 29270 are 2, 5, 2927. Prime factorization of 29270 in exponential form is:

29270 = 2¹ × 5¹ × 2927¹

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 29270

List of positive integer factors of 29270 that divides 29250 without a remainder.

1, 2, 5, 10, 2927, 5854, 14635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29250 and 29270. The biggest common factor number is the GCF number.
So the greatest common factor 29250 and 29270 is 10.

Also check out the Least Common Multiple of 29250 and 29270