What is the Greatest Common Factor of 74232 and 74250?

Greatest common factor (GCF) of 74232 and 74250 is 18.

GCF(74232,74250) = 18

We will now calculate the prime factors of 74232 and 74250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74232 and 74250.

How to find the GCF of 74232 and 74250?

We will first find the prime factorization of 74232 and 74250. After we will calculate the factors of 74232 and 74250 and find the biggest common factor number .

Step-1: Prime Factorization of 74232

Prime factors of 74232 are 2, 3, 1031. Prime factorization of 74232 in exponential form is:

74232 = 2³ × 3² × 1031¹

Step-2: Prime Factorization of 74250

Prime factors of 74250 are 2, 3, 5, 11. Prime factorization of 74250 in exponential form is:

74250 = 2¹ × 3³ × 5³ × 11¹

Step-3: Factors of 74232

List of positive integer factors of 74232 that divides 74232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1031, 2062, 3093, 4124, 6186, 8248, 9279, 12372, 18558, 24744, 37116

Step-4: Factors of 74250

List of positive integer factors of 74250 that divides 74232 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 27, 30, 33, 45, 50, 54, 55, 66, 75, 90, 99, 110, 125, 135, 150, 165, 198, 225, 250, 270, 275, 297, 330, 375, 450, 495, 550, 594, 675, 750, 825, 990, 1125, 1350, 1375, 1485, 1650, 2250, 2475, 2750, 2970, 3375, 4125, 4950, 6750, 7425, 8250, 12375, 14850, 24750, 37125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74232 and 74250. The biggest common factor number is the GCF number.
So the greatest common factor 74232 and 74250 is 18.

Also check out the Least Common Multiple of 74232 and 74250