What is the Greatest Common Factor of 96495 and 96505?

Greatest common factor (GCF) of 96495 and 96505 is 5.

GCF(96495,96505) = 5

We will now calculate the prime factors of 96495 and 96505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96495 and 96505.

How to find the GCF of 96495 and 96505?

We will first find the prime factorization of 96495 and 96505. After we will calculate the factors of 96495 and 96505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96505

Prime factors of 96505 are 5, 19301. Prime factorization of 96505 in exponential form is:

96505 = 5¹ × 19301¹

Step-3: Factors of 96495

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

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

Step-4: Factors of 96505

List of positive integer factors of 96505 that divides 96495 without a remainder.

1, 5, 19301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96495 and 96505. The biggest common factor number is the GCF number.
So the greatest common factor 96495 and 96505 is 5.

Also check out the Least Common Multiple of 96495 and 96505