What is the Greatest Common Factor of 96090 and 96110?

Greatest common factor (GCF) of 96090 and 96110 is 10.

GCF(96090,96110) = 10

We will now calculate the prime factors of 96090 and 96110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96090 and 96110.

How to find the GCF of 96090 and 96110?

We will first find the prime factorization of 96090 and 96110. After we will calculate the factors of 96090 and 96110 and find the biggest common factor number .

Step-1: Prime Factorization of 96090

Prime factors of 96090 are 2, 3, 5, 3203. Prime factorization of 96090 in exponential form is:

96090 = 2¹ × 3¹ × 5¹ × 3203¹

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 96090

List of positive integer factors of 96090 that divides 96090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3203, 6406, 9609, 16015, 19218, 32030, 48045

Step-4: Factors of 96110

List of positive integer factors of 96110 that divides 96090 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 96090 and 96110. The biggest common factor number is the GCF number.
So the greatest common factor 96090 and 96110 is 10.

Also check out the Least Common Multiple of 96090 and 96110