What is the Greatest Common Factor of 96407 and 96424?

Greatest common factor (GCF) of 96407 and 96424 is 17.

GCF(96407,96424) = 17

We will now calculate the prime factors of 96407 and 96424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96407 and 96424.

How to find the GCF of 96407 and 96424?

We will first find the prime factorization of 96407 and 96424. After we will calculate the factors of 96407 and 96424 and find the biggest common factor number .

Step-1: Prime Factorization of 96407

Prime factors of 96407 are 17, 53, 107. Prime factorization of 96407 in exponential form is:

96407 = 17¹ × 53¹ × 107¹

Step-2: Prime Factorization of 96424

Prime factors of 96424 are 2, 17, 709. Prime factorization of 96424 in exponential form is:

96424 = 2³ × 17¹ × 709¹

Step-3: Factors of 96407

List of positive integer factors of 96407 that divides 96407 without a remainder.

1, 17, 53, 107, 901, 1819, 5671

Step-4: Factors of 96424

List of positive integer factors of 96424 that divides 96407 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 709, 1418, 2836, 5672, 12053, 24106, 48212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96407 and 96424. The biggest common factor number is the GCF number.
So the greatest common factor 96407 and 96424 is 17.

Also check out the Least Common Multiple of 96407 and 96424