What is the Greatest Common Factor of 71305 and 71320?

Greatest common factor (GCF) of 71305 and 71320 is 5.

GCF(71305,71320) = 5

We will now calculate the prime factors of 71305 and 71320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71305 and 71320.

How to find the GCF of 71305 and 71320?

We will first find the prime factorization of 71305 and 71320. After we will calculate the factors of 71305 and 71320 and find the biggest common factor number .

Step-1: Prime Factorization of 71305

Prime factors of 71305 are 5, 13, 1097. Prime factorization of 71305 in exponential form is:

71305 = 5¹ × 13¹ × 1097¹

Step-2: Prime Factorization of 71320

Prime factors of 71320 are 2, 5, 1783. Prime factorization of 71320 in exponential form is:

71320 = 2³ × 5¹ × 1783¹

Step-3: Factors of 71305

List of positive integer factors of 71305 that divides 71305 without a remainder.

1, 5, 13, 65, 1097, 5485, 14261

Step-4: Factors of 71320

List of positive integer factors of 71320 that divides 71305 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1783, 3566, 7132, 8915, 14264, 17830, 35660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71305 and 71320. The biggest common factor number is the GCF number.
So the greatest common factor 71305 and 71320 is 5.

Also check out the Least Common Multiple of 71305 and 71320