What is the Greatest Common Factor of 96830 and 96840?

Greatest common factor (GCF) of 96830 and 96840 is 10.

GCF(96830,96840) = 10

We will now calculate the prime factors of 96830 and 96840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96830 and 96840.

How to find the GCF of 96830 and 96840?

We will first find the prime factorization of 96830 and 96840. After we will calculate the factors of 96830 and 96840 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 96840

Prime factors of 96840 are 2, 3, 5, 269. Prime factorization of 96840 in exponential form is:

96840 = 2³ × 3² × 5¹ × 269¹

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 96840

List of positive integer factors of 96840 that divides 96830 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 269, 360, 538, 807, 1076, 1345, 1614, 2152, 2421, 2690, 3228, 4035, 4842, 5380, 6456, 8070, 9684, 10760, 12105, 16140, 19368, 24210, 32280, 48420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96830 and 96840. The biggest common factor number is the GCF number.
So the greatest common factor 96830 and 96840 is 10.

Also check out the Least Common Multiple of 96830 and 96840