What is the Greatest Common Factor of 75333 and 75338?

Greatest common factor (GCF) of 75333 and 75338 is 1.

GCF(75333,75338) = 1

We will now calculate the prime factors of 75333 and 75338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75333 and 75338.

How to find the GCF of 75333 and 75338?

We will first find the prime factorization of 75333 and 75338. After we will calculate the factors of 75333 and 75338 and find the biggest common factor number .

Step-1: Prime Factorization of 75333

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

75333 = 3¹ × 25111¹

Step-2: Prime Factorization of 75338

Prime factors of 75338 are 2, 139, 271. Prime factorization of 75338 in exponential form is:

75338 = 2¹ × 139¹ × 271¹

Step-3: Factors of 75333

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

1, 3, 25111

Step-4: Factors of 75338

List of positive integer factors of 75338 that divides 75333 without a remainder.

1, 2, 139, 271, 278, 542, 37669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75333 and 75338. The biggest common factor number is the GCF number.
So the greatest common factor 75333 and 75338 is 1.

Also check out the Least Common Multiple of 75333 and 75338