What is the Greatest Common Factor of 96450 and 96465?

Greatest common factor (GCF) of 96450 and 96465 is 15.

GCF(96450,96465) = 15

We will now calculate the prime factors of 96450 and 96465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96450 and 96465.

How to find the GCF of 96450 and 96465?

We will first find the prime factorization of 96450 and 96465. After we will calculate the factors of 96450 and 96465 and find the biggest common factor number .

Step-1: Prime Factorization of 96450

Prime factors of 96450 are 2, 3, 5, 643. Prime factorization of 96450 in exponential form is:

96450 = 2¹ × 3¹ × 5² × 643¹

Step-2: Prime Factorization of 96465

Prime factors of 96465 are 3, 5, 59, 109. Prime factorization of 96465 in exponential form is:

96465 = 3¹ × 5¹ × 59¹ × 109¹

Step-3: Factors of 96450

List of positive integer factors of 96450 that divides 96450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 643, 1286, 1929, 3215, 3858, 6430, 9645, 16075, 19290, 32150, 48225

Step-4: Factors of 96465

List of positive integer factors of 96465 that divides 96450 without a remainder.

1, 3, 5, 15, 59, 109, 177, 295, 327, 545, 885, 1635, 6431, 19293, 32155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96450 and 96465. The biggest common factor number is the GCF number.
So the greatest common factor 96450 and 96465 is 15.

Also check out the Least Common Multiple of 96450 and 96465