What is the Greatest Common Factor of 71338 and 71344?

Greatest common factor (GCF) of 71338 and 71344 is 2.

GCF(71338,71344) = 2

We will now calculate the prime factors of 71338 and 71344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71338 and 71344.

How to find the GCF of 71338 and 71344?

We will first find the prime factorization of 71338 and 71344. After we will calculate the factors of 71338 and 71344 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 71344

Prime factors of 71344 are 2, 7, 13. Prime factorization of 71344 in exponential form is:

71344 = 2⁴ × 7³ × 13¹

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 71344

List of positive integer factors of 71344 that divides 71338 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 343, 364, 392, 637, 686, 728, 784, 1274, 1372, 1456, 2548, 2744, 4459, 5096, 5488, 8918, 10192, 17836, 35672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71338 and 71344. The biggest common factor number is the GCF number.
So the greatest common factor 71338 and 71344 is 2.

Also check out the Least Common Multiple of 71338 and 71344