What is the Greatest Common Factor of 96250 and 96268?

Greatest common factor (GCF) of 96250 and 96268 is 2.

GCF(96250,96268) = 2

We will now calculate the prime factors of 96250 and 96268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96250 and 96268.

How to find the GCF of 96250 and 96268?

We will first find the prime factorization of 96250 and 96268. After we will calculate the factors of 96250 and 96268 and find the biggest common factor number .

Step-1: Prime Factorization of 96250

Prime factors of 96250 are 2, 5, 7, 11. Prime factorization of 96250 in exponential form is:

96250 = 2¹ × 5⁴ × 7¹ × 11¹

Step-2: Prime Factorization of 96268

Prime factors of 96268 are 2, 41, 587. Prime factorization of 96268 in exponential form is:

96268 = 2² × 41¹ × 587¹

Step-3: Factors of 96250

List of positive integer factors of 96250 that divides 96250 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 125, 154, 175, 250, 275, 350, 385, 550, 625, 770, 875, 1250, 1375, 1750, 1925, 2750, 3850, 4375, 6875, 8750, 9625, 13750, 19250, 48125

Step-4: Factors of 96268

List of positive integer factors of 96268 that divides 96250 without a remainder.

1, 2, 4, 41, 82, 164, 587, 1174, 2348, 24067, 48134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96250 and 96268. The biggest common factor number is the GCF number.
So the greatest common factor 96250 and 96268 is 2.

Also check out the Least Common Multiple of 96250 and 96268