What is the Greatest Common Factor of 96236 and 96250?

Greatest common factor (GCF) of 96236 and 96250 is 14.

GCF(96236,96250) = 14

We will now calculate the prime factors of 96236 and 96250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96236 and 96250.

How to find the GCF of 96236 and 96250?

We will first find the prime factorization of 96236 and 96250. After we will calculate the factors of 96236 and 96250 and find the biggest common factor number .

Step-1: Prime Factorization of 96236

Prime factors of 96236 are 2, 7, 491. Prime factorization of 96236 in exponential form is:

96236 = 2² × 7² × 491¹

Step-2: 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-3: Factors of 96236

List of positive integer factors of 96236 that divides 96236 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 491, 982, 1964, 3437, 6874, 13748, 24059, 48118

Step-4: Factors of 96250

List of positive integer factors of 96250 that divides 96236 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96236 and 96250. The biggest common factor number is the GCF number.
So the greatest common factor 96236 and 96250 is 14.

Also check out the Least Common Multiple of 96236 and 96250