What is the Greatest Common Factor of 96849 and 96854?

Greatest common factor (GCF) of 96849 and 96854 is 1.

GCF(96849,96854) = 1

We will now calculate the prime factors of 96849 and 96854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96849 and 96854.

How to find the GCF of 96849 and 96854?

We will first find the prime factorization of 96849 and 96854. After we will calculate the factors of 96849 and 96854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96854

Prime factors of 96854 are 2, 79, 613. Prime factorization of 96854 in exponential form is:

96854 = 2¹ × 79¹ × 613¹

Step-3: Factors of 96849

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

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

Step-4: Factors of 96854

List of positive integer factors of 96854 that divides 96849 without a remainder.

1, 2, 79, 158, 613, 1226, 48427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96849 and 96854. The biggest common factor number is the GCF number.
So the greatest common factor 96849 and 96854 is 1.

Also check out the Least Common Multiple of 96849 and 96854