What is the Greatest Common Factor of 71366 and 71374?

Greatest common factor (GCF) of 71366 and 71374 is 2.

GCF(71366,71374) = 2

We will now calculate the prime factors of 71366 and 71374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71366 and 71374.

How to find the GCF of 71366 and 71374?

We will first find the prime factorization of 71366 and 71374. After we will calculate the factors of 71366 and 71374 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71374

Prime factors of 71374 are 2, 127, 281. Prime factorization of 71374 in exponential form is:

71374 = 2¹ × 127¹ × 281¹

Step-3: Factors of 71366

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

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

Step-4: Factors of 71374

List of positive integer factors of 71374 that divides 71366 without a remainder.

1, 2, 127, 254, 281, 562, 35687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71366 and 71374. The biggest common factor number is the GCF number.
So the greatest common factor 71366 and 71374 is 2.

Also check out the Least Common Multiple of 71366 and 71374