What is the Greatest Common Factor of 60090 and 60110?

Greatest common factor (GCF) of 60090 and 60110 is 10.

GCF(60090,60110) = 10

We will now calculate the prime factors of 60090 and 60110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60090 and 60110.

How to find the GCF of 60090 and 60110?

We will first find the prime factorization of 60090 and 60110. After we will calculate the factors of 60090 and 60110 and find the biggest common factor number .

Step-1: Prime Factorization of 60090

Prime factors of 60090 are 2, 3, 5, 2003. Prime factorization of 60090 in exponential form is:

60090 = 2¹ × 3¹ × 5¹ × 2003¹

Step-2: Prime Factorization of 60110

Prime factors of 60110 are 2, 5, 6011. Prime factorization of 60110 in exponential form is:

60110 = 2¹ × 5¹ × 6011¹

Step-3: Factors of 60090

List of positive integer factors of 60090 that divides 60090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2003, 4006, 6009, 10015, 12018, 20030, 30045

Step-4: Factors of 60110

List of positive integer factors of 60110 that divides 60090 without a remainder.

1, 2, 5, 10, 6011, 12022, 30055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60090 and 60110. The biggest common factor number is the GCF number.
So the greatest common factor 60090 and 60110 is 10.

Also check out the Least Common Multiple of 60090 and 60110