What is the Greatest Common Factor of 96590 and 96608?

Greatest common factor (GCF) of 96590 and 96608 is 2.

GCF(96590,96608) = 2

We will now calculate the prime factors of 96590 and 96608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96590 and 96608.

How to find the GCF of 96590 and 96608?

We will first find the prime factorization of 96590 and 96608. After we will calculate the factors of 96590 and 96608 and find the biggest common factor number .

Step-1: Prime Factorization of 96590

Prime factors of 96590 are 2, 5, 13, 743. Prime factorization of 96590 in exponential form is:

96590 = 2¹ × 5¹ × 13¹ × 743¹

Step-2: Prime Factorization of 96608

Prime factors of 96608 are 2, 3019. Prime factorization of 96608 in exponential form is:

96608 = 2⁵ × 3019¹

Step-3: Factors of 96590

List of positive integer factors of 96590 that divides 96590 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 743, 1486, 3715, 7430, 9659, 19318, 48295

Step-4: Factors of 96608

List of positive integer factors of 96608 that divides 96590 without a remainder.

1, 2, 4, 8, 16, 32, 3019, 6038, 12076, 24152, 48304

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96590 and 96608. The biggest common factor number is the GCF number.
So the greatest common factor 96590 and 96608 is 2.

Also check out the Least Common Multiple of 96590 and 96608