What is the Greatest Common Factor of 96110 and 96124?

Greatest common factor (GCF) of 96110 and 96124 is 14.

GCF(96110,96124) = 14

We will now calculate the prime factors of 96110 and 96124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96110 and 96124.

How to find the GCF of 96110 and 96124?

We will first find the prime factorization of 96110 and 96124. After we will calculate the factors of 96110 and 96124 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96124

Prime factors of 96124 are 2, 7, 3433. Prime factorization of 96124 in exponential form is:

96124 = 2² × 7¹ × 3433¹

Step-3: Factors of 96110

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

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

Step-4: Factors of 96124

List of positive integer factors of 96124 that divides 96110 without a remainder.

1, 2, 4, 7, 14, 28, 3433, 6866, 13732, 24031, 48062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96110 and 96124. The biggest common factor number is the GCF number.
So the greatest common factor 96110 and 96124 is 14.

Also check out the Least Common Multiple of 96110 and 96124