What is the Greatest Common Factor of 96498 and 96514?

Greatest common factor (GCF) of 96498 and 96514 is 2.

GCF(96498,96514) = 2

We will now calculate the prime factors of 96498 and 96514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96498 and 96514.

How to find the GCF of 96498 and 96514?

We will first find the prime factorization of 96498 and 96514. After we will calculate the factors of 96498 and 96514 and find the biggest common factor number .

Step-1: Prime Factorization of 96498

Prime factors of 96498 are 2, 3, 1787. Prime factorization of 96498 in exponential form is:

96498 = 2¹ × 3³ × 1787¹

Step-2: Prime Factorization of 96514

Prime factors of 96514 are 2, 11, 41, 107. Prime factorization of 96514 in exponential form is:

96514 = 2¹ × 11¹ × 41¹ × 107¹

Step-3: Factors of 96498

List of positive integer factors of 96498 that divides 96498 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1787, 3574, 5361, 10722, 16083, 32166, 48249

Step-4: Factors of 96514

List of positive integer factors of 96514 that divides 96498 without a remainder.

1, 2, 11, 22, 41, 82, 107, 214, 451, 902, 1177, 2354, 4387, 8774, 48257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96498 and 96514. The biggest common factor number is the GCF number.
So the greatest common factor 96498 and 96514 is 2.

Also check out the Least Common Multiple of 96498 and 96514