What is the Greatest Common Factor of 96467 and 96474?

Greatest common factor (GCF) of 96467 and 96474 is 7.

GCF(96467,96474) = 7

We will now calculate the prime factors of 96467 and 96474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96467 and 96474.

How to find the GCF of 96467 and 96474?

We will first find the prime factorization of 96467 and 96474. After we will calculate the factors of 96467 and 96474 and find the biggest common factor number .

Step-1: Prime Factorization of 96467

Prime factors of 96467 are 7, 13781. Prime factorization of 96467 in exponential form is:

96467 = 7¹ × 13781¹

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 96467

List of positive integer factors of 96467 that divides 96467 without a remainder.

1, 7, 13781

Step-4: Factors of 96474

List of positive integer factors of 96474 that divides 96467 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 96467 and 96474. The biggest common factor number is the GCF number.
So the greatest common factor 96467 and 96474 is 7.

Also check out the Least Common Multiple of 96467 and 96474