What is the Greatest Common Factor of 96450 and 96462?

Greatest common factor (GCF) of 96450 and 96462 is 6.

GCF(96450,96462) = 6

We will now calculate the prime factors of 96450 and 96462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96450 and 96462.

How to find the GCF of 96450 and 96462?

We will first find the prime factorization of 96450 and 96462. After we will calculate the factors of 96450 and 96462 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 96462

Prime factors of 96462 are 2, 3, 23, 233. Prime factorization of 96462 in exponential form is:

96462 = 2¹ × 3² × 23¹ × 233¹

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 96462

List of positive integer factors of 96462 that divides 96450 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 233, 414, 466, 699, 1398, 2097, 4194, 5359, 10718, 16077, 32154, 48231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96450 and 96462. The biggest common factor number is the GCF number.
So the greatest common factor 96450 and 96462 is 6.

Also check out the Least Common Multiple of 96450 and 96462