What is the Greatest Common Factor of 96830 and 96838?

Greatest common factor (GCF) of 96830 and 96838 is 2.

GCF(96830,96838) = 2

We will now calculate the prime factors of 96830 and 96838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96830 and 96838.

How to find the GCF of 96830 and 96838?

We will first find the prime factorization of 96830 and 96838. After we will calculate the factors of 96830 and 96838 and find the biggest common factor number .

Step-1: Prime Factorization of 96830

Prime factors of 96830 are 2, 5, 23, 421. Prime factorization of 96830 in exponential form is:

96830 = 2¹ × 5¹ × 23¹ × 421¹

Step-2: Prime Factorization of 96838

Prime factors of 96838 are 2, 7, 6917. Prime factorization of 96838 in exponential form is:

96838 = 2¹ × 7¹ × 6917¹

Step-3: Factors of 96830

List of positive integer factors of 96830 that divides 96830 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 421, 842, 2105, 4210, 9683, 19366, 48415

Step-4: Factors of 96838

List of positive integer factors of 96838 that divides 96830 without a remainder.

1, 2, 7, 14, 6917, 13834, 48419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96830 and 96838. The biggest common factor number is the GCF number.
So the greatest common factor 96830 and 96838 is 2.

Also check out the Least Common Multiple of 96830 and 96838