What is the Greatest Common Factor of 29230 and 29250?

Greatest common factor (GCF) of 29230 and 29250 is 10.

GCF(29230,29250) = 10

We will now calculate the prime factors of 29230 and 29250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29230 and 29250.

How to find the GCF of 29230 and 29250?

We will first find the prime factorization of 29230 and 29250. After we will calculate the factors of 29230 and 29250 and find the biggest common factor number .

Step-1: Prime Factorization of 29230

Prime factors of 29230 are 2, 5, 37, 79. Prime factorization of 29230 in exponential form is:

29230 = 2¹ × 5¹ × 37¹ × 79¹

Step-2: 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-3: Factors of 29230

List of positive integer factors of 29230 that divides 29230 without a remainder.

1, 2, 5, 10, 37, 74, 79, 158, 185, 370, 395, 790, 2923, 5846, 14615

Step-4: Factors of 29250

List of positive integer factors of 29250 that divides 29230 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29230 and 29250. The biggest common factor number is the GCF number.
So the greatest common factor 29230 and 29250 is 10.

Also check out the Least Common Multiple of 29230 and 29250