What is the Greatest Common Factor of 96495 and 96504?

Greatest common factor (GCF) of 96495 and 96504 is 3.

GCF(96495,96504) = 3

We will now calculate the prime factors of 96495 and 96504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96495 and 96504.

How to find the GCF of 96495 and 96504?

We will first find the prime factorization of 96495 and 96504. After we will calculate the factors of 96495 and 96504 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 96504

Prime factors of 96504 are 2, 3, 4021. Prime factorization of 96504 in exponential form is:

96504 = 2³ × 3¹ × 4021¹

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 96504

List of positive integer factors of 96504 that divides 96495 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4021, 8042, 12063, 16084, 24126, 32168, 48252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96495 and 96504. The biggest common factor number is the GCF number.
So the greatest common factor 96495 and 96504 is 3.

Also check out the Least Common Multiple of 96495 and 96504