What is the Greatest Common Factor of 96250 and 96269?

Greatest common factor (GCF) of 96250 and 96269 is 1.

GCF(96250,96269) = 1

We will now calculate the prime factors of 96250 and 96269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96250 and 96269.

How to find the GCF of 96250 and 96269?

We will first find the prime factorization of 96250 and 96269. After we will calculate the factors of 96250 and 96269 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 96269

Prime factors of 96269 are 96269. Prime factorization of 96269 in exponential form is:

96269 = 96269¹

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 96269

List of positive integer factors of 96269 that divides 96250 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96250 and 96269. The biggest common factor number is the GCF number.
So the greatest common factor 96250 and 96269 is 1.

Also check out the Least Common Multiple of 96250 and 96269