What is the Greatest Common Factor of 96462 and 96477?

Greatest common factor (GCF) of 96462 and 96477 is 3.

GCF(96462,96477) = 3

We will now calculate the prime factors of 96462 and 96477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96462 and 96477.

How to find the GCF of 96462 and 96477?

We will first find the prime factorization of 96462 and 96477. After we will calculate the factors of 96462 and 96477 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96477

Prime factors of 96477 are 3, 32159. Prime factorization of 96477 in exponential form is:

96477 = 3¹ × 32159¹

Step-3: Factors of 96462

List of positive integer factors of 96462 that divides 96462 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

Step-4: Factors of 96477

List of positive integer factors of 96477 that divides 96462 without a remainder.

1, 3, 32159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96462 and 96477. The biggest common factor number is the GCF number.
So the greatest common factor 96462 and 96477 is 3.

Also check out the Least Common Multiple of 96462 and 96477