What is the Greatest Common Factor of 71366 and 71380?

Greatest common factor (GCF) of 71366 and 71380 is 2.

GCF(71366,71380) = 2

We will now calculate the prime factors of 71366 and 71380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71366 and 71380.

How to find the GCF of 71366 and 71380?

We will first find the prime factorization of 71366 and 71380. After we will calculate the factors of 71366 and 71380 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 71380

Prime factors of 71380 are 2, 5, 43, 83. Prime factorization of 71380 in exponential form is:

71380 = 2² × 5¹ × 43¹ × 83¹

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 71380

List of positive integer factors of 71380 that divides 71366 without a remainder.

1, 2, 4, 5, 10, 20, 43, 83, 86, 166, 172, 215, 332, 415, 430, 830, 860, 1660, 3569, 7138, 14276, 17845, 35690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71366 and 71380. The biggest common factor number is the GCF number.
So the greatest common factor 71366 and 71380 is 2.

Also check out the Least Common Multiple of 71366 and 71380