What is the Greatest Common Factor of 71349 and 71366?

Greatest common factor (GCF) of 71349 and 71366 is 17.

GCF(71349,71366) = 17

We will now calculate the prime factors of 71349 and 71366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71349 and 71366.

How to find the GCF of 71349 and 71366?

We will first find the prime factorization of 71349 and 71366. After we will calculate the factors of 71349 and 71366 and find the biggest common factor number .

Step-1: Prime Factorization of 71349

Prime factors of 71349 are 3, 17, 1399. Prime factorization of 71349 in exponential form is:

71349 = 3¹ × 17¹ × 1399¹

Step-2: Prime Factorization of 71366

Prime factors of 71366 are 2, 17, 2099. Prime factorization of 71366 in exponential form is:

71366 = 2¹ × 17¹ × 2099¹

Step-3: Factors of 71349

List of positive integer factors of 71349 that divides 71349 without a remainder.

1, 3, 17, 51, 1399, 4197, 23783

Step-4: Factors of 71366

List of positive integer factors of 71366 that divides 71349 without a remainder.

1, 2, 17, 34, 2099, 4198, 35683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71349 and 71366. The biggest common factor number is the GCF number.
So the greatest common factor 71349 and 71366 is 17.

Also check out the Least Common Multiple of 71349 and 71366