What is the Greatest Common Factor of 60075 and 60084?

Greatest common factor (GCF) of 60075 and 60084 is 9.

GCF(60075,60084) = 9

We will now calculate the prime factors of 60075 and 60084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60075 and 60084.

How to find the GCF of 60075 and 60084?

We will first find the prime factorization of 60075 and 60084. After we will calculate the factors of 60075 and 60084 and find the biggest common factor number .

Step-1: Prime Factorization of 60075

Prime factors of 60075 are 3, 5, 89. Prime factorization of 60075 in exponential form is:

60075 = 3³ × 5² × 89¹

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 60075

List of positive integer factors of 60075 that divides 60075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 89, 135, 225, 267, 445, 675, 801, 1335, 2225, 2403, 4005, 6675, 12015, 20025

Step-4: Factors of 60084

List of positive integer factors of 60084 that divides 60075 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 60075 and 60084. The biggest common factor number is the GCF number.
So the greatest common factor 60075 and 60084 is 9.

Also check out the Least Common Multiple of 60075 and 60084