What is the Greatest Common Factor of 96584 and 96590?

Greatest common factor (GCF) of 96584 and 96590 is 2.

GCF(96584,96590) = 2

We will now calculate the prime factors of 96584 and 96590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96584 and 96590.

How to find the GCF of 96584 and 96590?

We will first find the prime factorization of 96584 and 96590. After we will calculate the factors of 96584 and 96590 and find the biggest common factor number .

Step-1: Prime Factorization of 96584

Prime factors of 96584 are 2, 12073. Prime factorization of 96584 in exponential form is:

96584 = 2³ × 12073¹

Step-2: 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-3: Factors of 96584

List of positive integer factors of 96584 that divides 96584 without a remainder.

1, 2, 4, 8, 12073, 24146, 48292

Step-4: Factors of 96590

List of positive integer factors of 96590 that divides 96584 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96584 and 96590. The biggest common factor number is the GCF number.
So the greatest common factor 96584 and 96590 is 2.

Also check out the Least Common Multiple of 96584 and 96590