What is the Greatest Common Factor of 75324 and 75333?

Greatest common factor (GCF) of 75324 and 75333 is 3.

GCF(75324,75333) = 3

We will now calculate the prime factors of 75324 and 75333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75324 and 75333.

How to find the GCF of 75324 and 75333?

We will first find the prime factorization of 75324 and 75333. After we will calculate the factors of 75324 and 75333 and find the biggest common factor number .

Step-1: Prime Factorization of 75324

Prime factors of 75324 are 2, 3, 6277. Prime factorization of 75324 in exponential form is:

75324 = 2² × 3¹ × 6277¹

Step-2: Prime Factorization of 75333

Prime factors of 75333 are 3, 25111. Prime factorization of 75333 in exponential form is:

75333 = 3¹ × 25111¹

Step-3: Factors of 75324

List of positive integer factors of 75324 that divides 75324 without a remainder.

1, 2, 3, 4, 6, 12, 6277, 12554, 18831, 25108, 37662

Step-4: Factors of 75333

List of positive integer factors of 75333 that divides 75324 without a remainder.

1, 3, 25111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75324 and 75333. The biggest common factor number is the GCF number.
So the greatest common factor 75324 and 75333 is 3.

Also check out the Least Common Multiple of 75324 and 75333