What is the Greatest Common Factor of 74250 and 74254?

Greatest common factor (GCF) of 74250 and 74254 is 2.

GCF(74250,74254) = 2

We will now calculate the prime factors of 74250 and 74254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74250 and 74254.

How to find the GCF of 74250 and 74254?

We will first find the prime factorization of 74250 and 74254. After we will calculate the factors of 74250 and 74254 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74254

Prime factors of 74254 are 2, 137, 271. Prime factorization of 74254 in exponential form is:

74254 = 2¹ × 137¹ × 271¹

Step-3: Factors of 74250

List of positive integer factors of 74250 that divides 74250 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

Step-4: Factors of 74254

List of positive integer factors of 74254 that divides 74250 without a remainder.

1, 2, 137, 271, 274, 542, 37127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74250 and 74254. The biggest common factor number is the GCF number.
So the greatest common factor 74250 and 74254 is 2.

Also check out the Least Common Multiple of 74250 and 74254