What is the Greatest Common Factor of 96474 and 96478?

Greatest common factor (GCF) of 96474 and 96478 is 2.

GCF(96474,96478) = 2

We will now calculate the prime factors of 96474 and 96478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96474 and 96478.

How to find the GCF of 96474 and 96478?

We will first find the prime factorization of 96474 and 96478. After we will calculate the factors of 96474 and 96478 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96478

Prime factors of 96478 are 2, 48239. Prime factorization of 96478 in exponential form is:

96478 = 2¹ × 48239¹

Step-3: Factors of 96474

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

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

Step-4: Factors of 96478

List of positive integer factors of 96478 that divides 96474 without a remainder.

1, 2, 48239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96474 and 96478. The biggest common factor number is the GCF number.
So the greatest common factor 96474 and 96478 is 2.

Also check out the Least Common Multiple of 96474 and 96478