What is the Greatest Common Factor of 96103 and 96110?

Greatest common factor (GCF) of 96103 and 96110 is 7.

GCF(96103,96110) = 7

We will now calculate the prime factors of 96103 and 96110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96103 and 96110.

How to find the GCF of 96103 and 96110?

We will first find the prime factorization of 96103 and 96110. After we will calculate the factors of 96103 and 96110 and find the biggest common factor number .

Step-1: Prime Factorization of 96103

Prime factors of 96103 are 7, 13729. Prime factorization of 96103 in exponential form is:

96103 = 7¹ × 13729¹

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 96103

List of positive integer factors of 96103 that divides 96103 without a remainder.

1, 7, 13729

Step-4: Factors of 96110

List of positive integer factors of 96110 that divides 96103 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 96103 and 96110. The biggest common factor number is the GCF number.
So the greatest common factor 96103 and 96110 is 7.

Also check out the Least Common Multiple of 96103 and 96110