What is the Greatest Common Factor of 71320 and 71338?

Greatest common factor (GCF) of 71320 and 71338 is 2.

GCF(71320,71338) = 2

We will now calculate the prime factors of 71320 and 71338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71320 and 71338.

How to find the GCF of 71320 and 71338?

We will first find the prime factorization of 71320 and 71338. After we will calculate the factors of 71320 and 71338 and find the biggest common factor number .

Step-1: Prime Factorization of 71320

Prime factors of 71320 are 2, 5, 1783. Prime factorization of 71320 in exponential form is:

71320 = 2³ × 5¹ × 1783¹

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 71320

List of positive integer factors of 71320 that divides 71320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1783, 3566, 7132, 8915, 14264, 17830, 35660

Step-4: Factors of 71338

List of positive integer factors of 71338 that divides 71320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71320 and 71338. The biggest common factor number is the GCF number.
So the greatest common factor 71320 and 71338 is 2.

Also check out the Least Common Multiple of 71320 and 71338