What is the Greatest Common Factor of 96462 and 96474?

Greatest common factor (GCF) of 96462 and 96474 is 6.

GCF(96462,96474) = 6

We will now calculate the prime factors of 96462 and 96474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96462 and 96474.

How to find the GCF of 96462 and 96474?

We will first find the prime factorization of 96462 and 96474. After we will calculate the factors of 96462 and 96474 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 96474

Prime factors of 96474 are 2, 3, 7, 2297. Prime factorization of 96474 in exponential form is:

96474 = 2¹ × 3¹ × 7¹ × 2297¹

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 96474

List of positive integer factors of 96474 that divides 96462 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2297, 4594, 6891, 13782, 16079, 32158, 48237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96462 and 96474. The biggest common factor number is the GCF number.
So the greatest common factor 96462 and 96474 is 6.

Also check out the Least Common Multiple of 96462 and 96474