What is the Greatest Common Factor of 71333 and 71338?

Greatest common factor (GCF) of 71333 and 71338 is 1.

GCF(71333,71338) = 1

We will now calculate the prime factors of 71333 and 71338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71333 and 71338.

How to find the GCF of 71333 and 71338?

We will first find the prime factorization of 71333 and 71338. After we will calculate the factors of 71333 and 71338 and find the biggest common factor number .

Step-1: Prime Factorization of 71333

Prime factors of 71333 are 71333. Prime factorization of 71333 in exponential form is:

71333 = 71333¹

Step-2: Prime Factorization of 71338

Prime factors of 71338 are 2, 53, 673. Prime factorization of 71338 in exponential form is:

71338 = 2¹ × 53¹ × 673¹

Step-3: Factors of 71333

List of positive integer factors of 71333 that divides 71333 without a remainder.

Step-4: Factors of 71338

List of positive integer factors of 71338 that divides 71333 without a remainder.

1, 2, 53, 106, 673, 1346, 35669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71333 and 71338. The biggest common factor number is the GCF number.
So the greatest common factor 71333 and 71338 is 1.

Also check out the Least Common Multiple of 71333 and 71338