What is the Greatest Common Factor of 96842 and 96849?

Greatest common factor (GCF) of 96842 and 96849 is 1.

GCF(96842,96849) = 1

We will now calculate the prime factors of 96842 and 96849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96842 and 96849.

How to find the GCF of 96842 and 96849?

We will first find the prime factorization of 96842 and 96849. After we will calculate the factors of 96842 and 96849 and find the biggest common factor number .

Step-1: Prime Factorization of 96842

Prime factors of 96842 are 2, 41, 1181. Prime factorization of 96842 in exponential form is:

96842 = 2¹ × 41¹ × 1181¹

Step-2: Prime Factorization of 96849

Prime factors of 96849 are 3, 17, 211. Prime factorization of 96849 in exponential form is:

96849 = 3³ × 17¹ × 211¹

Step-3: Factors of 96842

List of positive integer factors of 96842 that divides 96842 without a remainder.

1, 2, 41, 82, 1181, 2362, 48421

Step-4: Factors of 96849

List of positive integer factors of 96849 that divides 96842 without a remainder.

1, 3, 9, 17, 27, 51, 153, 211, 459, 633, 1899, 3587, 5697, 10761, 32283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96842 and 96849. The biggest common factor number is the GCF number.
So the greatest common factor 96842 and 96849 is 1.

Also check out the Least Common Multiple of 96842 and 96849