What is the Greatest Common Factor of 96104 and 96110?

Greatest common factor (GCF) of 96104 and 96110 is 2.

GCF(96104,96110) = 2

We will now calculate the prime factors of 96104 and 96110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96104 and 96110.

How to find the GCF of 96104 and 96110?

We will first find the prime factorization of 96104 and 96110. After we will calculate the factors of 96104 and 96110 and find the biggest common factor number .

Step-1: Prime Factorization of 96104

Prime factors of 96104 are 2, 41, 293. Prime factorization of 96104 in exponential form is:

96104 = 2³ × 41¹ × 293¹

Step-2: Prime Factorization of 96110

Prime factors of 96110 are 2, 5, 7, 1373. Prime factorization of 96110 in exponential form is:

96110 = 2¹ × 5¹ × 7¹ × 1373¹

Step-3: Factors of 96104

List of positive integer factors of 96104 that divides 96104 without a remainder.

1, 2, 4, 8, 41, 82, 164, 293, 328, 586, 1172, 2344, 12013, 24026, 48052

Step-4: Factors of 96110

List of positive integer factors of 96110 that divides 96104 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1373, 2746, 6865, 9611, 13730, 19222, 48055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96104 and 96110. The biggest common factor number is the GCF number.
So the greatest common factor 96104 and 96110 is 2.

Also check out the Least Common Multiple of 96104 and 96110