What is the Greatest Common Factor of 75066 and 75084?

Greatest common factor (GCF) of 75066 and 75084 is 6.

GCF(75066,75084) = 6

We will now calculate the prime factors of 75066 and 75084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75066 and 75084.

How to find the GCF of 75066 and 75084?

We will first find the prime factorization of 75066 and 75084. After we will calculate the factors of 75066 and 75084 and find the biggest common factor number .

Step-1: Prime Factorization of 75066

Prime factors of 75066 are 2, 3, 12511. Prime factorization of 75066 in exponential form is:

75066 = 2¹ × 3¹ × 12511¹

Step-2: Prime Factorization of 75084

Prime factors of 75084 are 2, 3, 6257. Prime factorization of 75084 in exponential form is:

75084 = 2² × 3¹ × 6257¹

Step-3: Factors of 75066

List of positive integer factors of 75066 that divides 75066 without a remainder.

1, 2, 3, 6, 12511, 25022, 37533

Step-4: Factors of 75084

List of positive integer factors of 75084 that divides 75066 without a remainder.

1, 2, 3, 4, 6, 12, 6257, 12514, 18771, 25028, 37542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75066 and 75084. The biggest common factor number is the GCF number.
So the greatest common factor 75066 and 75084 is 6.

Also check out the Least Common Multiple of 75066 and 75084