What is the Greatest Common Factor of 74238 and 74250?

Greatest common factor (GCF) of 74238 and 74250 is 6.

GCF(74238,74250) = 6

We will now calculate the prime factors of 74238 and 74250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74238 and 74250.

How to find the GCF of 74238 and 74250?

We will first find the prime factorization of 74238 and 74250. After we will calculate the factors of 74238 and 74250 and find the biggest common factor number .

Step-1: Prime Factorization of 74238

Prime factors of 74238 are 2, 3, 12373. Prime factorization of 74238 in exponential form is:

74238 = 2¹ × 3¹ × 12373¹

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 74238

List of positive integer factors of 74238 that divides 74238 without a remainder.

1, 2, 3, 6, 12373, 24746, 37119

Step-4: Factors of 74250

List of positive integer factors of 74250 that divides 74238 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 74238 and 74250. The biggest common factor number is the GCF number.
So the greatest common factor 74238 and 74250 is 6.

Also check out the Least Common Multiple of 74238 and 74250