What is the Greatest Common Factor of 29232 and 29250?

Greatest common factor (GCF) of 29232 and 29250 is 18.

GCF(29232,29250) = 18

We will now calculate the prime factors of 29232 and 29250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29232 and 29250.

How to find the GCF of 29232 and 29250?

We will first find the prime factorization of 29232 and 29250. After we will calculate the factors of 29232 and 29250 and find the biggest common factor number .

Step-1: Prime Factorization of 29232

Prime factors of 29232 are 2, 3, 7, 29. Prime factorization of 29232 in exponential form is:

29232 = 2⁴ × 3² × 7¹ × 29¹

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 29232

List of positive integer factors of 29232 that divides 29232 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 29, 36, 42, 48, 56, 58, 63, 72, 84, 87, 112, 116, 126, 144, 168, 174, 203, 232, 252, 261, 336, 348, 406, 464, 504, 522, 609, 696, 812, 1008, 1044, 1218, 1392, 1624, 1827, 2088, 2436, 3248, 3654, 4176, 4872, 7308, 9744, 14616

Step-4: Factors of 29250

List of positive integer factors of 29250 that divides 29232 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 29232 and 29250. The biggest common factor number is the GCF number.
So the greatest common factor 29232 and 29250 is 18.

Also check out the Least Common Multiple of 29232 and 29250