What is the Greatest Common Factor of 60066 and 60084?

Greatest common factor (GCF) of 60066 and 60084 is 18.

GCF(60066,60084) = 18

We will now calculate the prime factors of 60066 and 60084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60066 and 60084.

How to find the GCF of 60066 and 60084?

We will first find the prime factorization of 60066 and 60084. After we will calculate the factors of 60066 and 60084 and find the biggest common factor number .

Step-1: Prime Factorization of 60066

Prime factors of 60066 are 2, 3, 47, 71. Prime factorization of 60066 in exponential form is:

60066 = 2¹ × 3² × 47¹ × 71¹

Step-2: 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-3: Factors of 60066

List of positive integer factors of 60066 that divides 60066 without a remainder.

1, 2, 3, 6, 9, 18, 47, 71, 94, 141, 142, 213, 282, 423, 426, 639, 846, 1278, 3337, 6674, 10011, 20022, 30033

Step-4: Factors of 60084

List of positive integer factors of 60084 that divides 60066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60066 and 60084. The biggest common factor number is the GCF number.
So the greatest common factor 60066 and 60084 is 18.

Also check out the Least Common Multiple of 60066 and 60084