What is the Greatest Common Factor of 74244 and 74250?

Greatest common factor (GCF) of 74244 and 74250 is 6.

GCF(74244,74250) = 6

We will now calculate the prime factors of 74244 and 74250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74244 and 74250.

How to find the GCF of 74244 and 74250?

We will first find the prime factorization of 74244 and 74250. After we will calculate the factors of 74244 and 74250 and find the biggest common factor number .

Step-1: Prime Factorization of 74244

Prime factors of 74244 are 2, 3, 23, 269. Prime factorization of 74244 in exponential form is:

74244 = 2² × 3¹ × 23¹ × 269¹

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 74244

List of positive integer factors of 74244 that divides 74244 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 269, 276, 538, 807, 1076, 1614, 3228, 6187, 12374, 18561, 24748, 37122

Step-4: Factors of 74250

List of positive integer factors of 74250 that divides 74244 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 74244 and 74250. The biggest common factor number is the GCF number.
So the greatest common factor 74244 and 74250 is 6.

Also check out the Least Common Multiple of 74244 and 74250