What is the Greatest Common Factor of 96250 and 96270?

Greatest common factor (GCF) of 96250 and 96270 is 10.

GCF(96250,96270) = 10

We will now calculate the prime factors of 96250 and 96270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96250 and 96270.

How to find the GCF of 96250 and 96270?

We will first find the prime factorization of 96250 and 96270. After we will calculate the factors of 96250 and 96270 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 96270

Prime factors of 96270 are 2, 3, 5, 3209. Prime factorization of 96270 in exponential form is:

96270 = 2¹ × 3¹ × 5¹ × 3209¹

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 96270

List of positive integer factors of 96270 that divides 96250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3209, 6418, 9627, 16045, 19254, 32090, 48135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96250 and 96270. The biggest common factor number is the GCF number.
So the greatest common factor 96250 and 96270 is 10.

Also check out the Least Common Multiple of 96250 and 96270