What is the Greatest Common Factor of 71338 and 71354?

Greatest common factor (GCF) of 71338 and 71354 is 2.

GCF(71338,71354) = 2

We will now calculate the prime factors of 71338 and 71354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71338 and 71354.

How to find the GCF of 71338 and 71354?

We will first find the prime factorization of 71338 and 71354. After we will calculate the factors of 71338 and 71354 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71354

Prime factors of 71354 are 2, 35677. Prime factorization of 71354 in exponential form is:

71354 = 2¹ × 35677¹

Step-3: Factors of 71338

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

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

Step-4: Factors of 71354

List of positive integer factors of 71354 that divides 71338 without a remainder.

1, 2, 35677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71338 and 71354. The biggest common factor number is the GCF number.
So the greatest common factor 71338 and 71354 is 2.

Also check out the Least Common Multiple of 71338 and 71354