What is the Greatest Common Factor of 96486 and 96495?

Greatest common factor (GCF) of 96486 and 96495 is 3.

GCF(96486,96495) = 3

We will now calculate the prime factors of 96486 and 96495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96486 and 96495.

How to find the GCF of 96486 and 96495?

We will first find the prime factorization of 96486 and 96495. After we will calculate the factors of 96486 and 96495 and find the biggest common factor number .

Step-1: Prime Factorization of 96486

Prime factors of 96486 are 2, 3, 13, 1237. Prime factorization of 96486 in exponential form is:

96486 = 2¹ × 3¹ × 13¹ × 1237¹

Step-2: Prime Factorization of 96495

Prime factors of 96495 are 3, 5, 7, 919. Prime factorization of 96495 in exponential form is:

96495 = 3¹ × 5¹ × 7¹ × 919¹

Step-3: Factors of 96486

List of positive integer factors of 96486 that divides 96486 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1237, 2474, 3711, 7422, 16081, 32162, 48243

Step-4: Factors of 96495

List of positive integer factors of 96495 that divides 96486 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 919, 2757, 4595, 6433, 13785, 19299, 32165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96486 and 96495. The biggest common factor number is the GCF number.
So the greatest common factor 96486 and 96495 is 3.

Also check out the Least Common Multiple of 96486 and 96495