What is the Greatest Common Factor of 96642 and 96659?

Greatest common factor (GCF) of 96642 and 96659 is 1.

GCF(96642,96659) = 1

We will now calculate the prime factors of 96642 and 96659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96642 and 96659.

How to find the GCF of 96642 and 96659?

We will first find the prime factorization of 96642 and 96659. After we will calculate the factors of 96642 and 96659 and find the biggest common factor number .

Step-1: Prime Factorization of 96642

Prime factors of 96642 are 2, 3, 7, 13, 59. Prime factorization of 96642 in exponential form is:

96642 = 2¹ × 3² × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 96659

Prime factors of 96659 are 163, 593. Prime factorization of 96659 in exponential form is:

96659 = 163¹ × 593¹

Step-3: Factors of 96642

List of positive integer factors of 96642 that divides 96642 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 59, 63, 78, 91, 117, 118, 126, 177, 182, 234, 273, 354, 413, 531, 546, 767, 819, 826, 1062, 1239, 1534, 1638, 2301, 2478, 3717, 4602, 5369, 6903, 7434, 10738, 13806, 16107, 32214, 48321

Step-4: Factors of 96659

List of positive integer factors of 96659 that divides 96642 without a remainder.

1, 163, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96642 and 96659. The biggest common factor number is the GCF number.
So the greatest common factor 96642 and 96659 is 1.

Also check out the Least Common Multiple of 96642 and 96659