What is the Greatest Common Factor of 96590 and 96603?

Greatest common factor (GCF) of 96590 and 96603 is 13.

GCF(96590,96603) = 13

We will now calculate the prime factors of 96590 and 96603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96590 and 96603.

How to find the GCF of 96590 and 96603?

We will first find the prime factorization of 96590 and 96603. After we will calculate the factors of 96590 and 96603 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 96603

Prime factors of 96603 are 3, 13, 2477. Prime factorization of 96603 in exponential form is:

96603 = 3¹ × 13¹ × 2477¹

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 96603

List of positive integer factors of 96603 that divides 96590 without a remainder.

1, 3, 13, 39, 2477, 7431, 32201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96590 and 96603. The biggest common factor number is the GCF number.
So the greatest common factor 96590 and 96603 is 13.

Also check out the Least Common Multiple of 96590 and 96603