What is the Greatest Common Factor of 96082 and 96100?

Greatest common factor (GCF) of 96082 and 96100 is 2.

GCF(96082,96100) = 2

We will now calculate the prime factors of 96082 and 96100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96082 and 96100.

How to find the GCF of 96082 and 96100?

We will first find the prime factorization of 96082 and 96100. After we will calculate the factors of 96082 and 96100 and find the biggest common factor number .

Step-1: Prime Factorization of 96082

Prime factors of 96082 are 2, 7, 6863. Prime factorization of 96082 in exponential form is:

96082 = 2¹ × 7¹ × 6863¹

Step-2: Prime Factorization of 96100

Prime factors of 96100 are 2, 5, 31. Prime factorization of 96100 in exponential form is:

96100 = 2² × 5² × 31²

Step-3: Factors of 96082

List of positive integer factors of 96082 that divides 96082 without a remainder.

1, 2, 7, 14, 6863, 13726, 48041

Step-4: Factors of 96100

List of positive integer factors of 96100 that divides 96082 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 961, 1550, 1922, 3100, 3844, 4805, 9610, 19220, 24025, 48050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96082 and 96100. The biggest common factor number is the GCF number.
So the greatest common factor 96082 and 96100 is 2.

Also check out the Least Common Multiple of 96082 and 96100