What is the Greatest Common Factor of 96250 and 96254?

Greatest common factor (GCF) of 96250 and 96254 is 2.

GCF(96250,96254) = 2

We will now calculate the prime factors of 96250 and 96254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96250 and 96254.

How to find the GCF of 96250 and 96254?

We will first find the prime factorization of 96250 and 96254. After we will calculate the factors of 96250 and 96254 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 96254

Prime factors of 96254 are 2, 17, 19, 149. Prime factorization of 96254 in exponential form is:

96254 = 2¹ × 17¹ × 19¹ × 149¹

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 96254

List of positive integer factors of 96254 that divides 96250 without a remainder.

1, 2, 17, 19, 34, 38, 149, 298, 323, 646, 2533, 2831, 5066, 5662, 48127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96250 and 96254. The biggest common factor number is the GCF number.
So the greatest common factor 96250 and 96254 is 2.

Also check out the Least Common Multiple of 96250 and 96254