What is the Greatest Common Factor of 96100 and 96114?

Greatest common factor (GCF) of 96100 and 96114 is 2.

GCF(96100,96114) = 2

We will now calculate the prime factors of 96100 and 96114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96100 and 96114.

How to find the GCF of 96100 and 96114?

We will first find the prime factorization of 96100 and 96114. After we will calculate the factors of 96100 and 96114 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96114

Prime factors of 96114 are 2, 3, 83, 193. Prime factorization of 96114 in exponential form is:

96114 = 2¹ × 3¹ × 83¹ × 193¹

Step-3: Factors of 96100

List of positive integer factors of 96100 that divides 96100 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

Step-4: Factors of 96114

List of positive integer factors of 96114 that divides 96100 without a remainder.

1, 2, 3, 6, 83, 166, 193, 249, 386, 498, 579, 1158, 16019, 32038, 48057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96100 and 96114. The biggest common factor number is the GCF number.
So the greatest common factor 96100 and 96114 is 2.

Also check out the Least Common Multiple of 96100 and 96114