What is the Greatest Common Factor of 60084 and 60090?

Greatest common factor (GCF) of 60084 and 60090 is 6.

GCF(60084,60090) = 6

We will now calculate the prime factors of 60084 and 60090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60084 and 60090.

How to find the GCF of 60084 and 60090?

We will first find the prime factorization of 60084 and 60090. After we will calculate the factors of 60084 and 60090 and find the biggest common factor number .

Step-1: Prime Factorization of 60084

Prime factors of 60084 are 2, 3, 1669. Prime factorization of 60084 in exponential form is:

60084 = 2² × 3² × 1669¹

Step-2: 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-3: Factors of 60084

List of positive integer factors of 60084 that divides 60084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1669, 3338, 5007, 6676, 10014, 15021, 20028, 30042

Step-4: Factors of 60090

List of positive integer factors of 60090 that divides 60084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60084 and 60090. The biggest common factor number is the GCF number.
So the greatest common factor 60084 and 60090 is 6.

Also check out the Least Common Multiple of 60084 and 60090