What is the Greatest Common Factor of 71345 and 71365?

Greatest common factor (GCF) of 71345 and 71365 is 5.

GCF(71345,71365) = 5

We will now calculate the prime factors of 71345 and 71365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71345 and 71365.

How to find the GCF of 71345 and 71365?

We will first find the prime factorization of 71345 and 71365. After we will calculate the factors of 71345 and 71365 and find the biggest common factor number .

Step-1: Prime Factorization of 71345

Prime factors of 71345 are 5, 19, 751. Prime factorization of 71345 in exponential form is:

71345 = 5¹ × 19¹ × 751¹

Step-2: Prime Factorization of 71365

Prime factors of 71365 are 5, 7, 2039. Prime factorization of 71365 in exponential form is:

71365 = 5¹ × 7¹ × 2039¹

Step-3: Factors of 71345

List of positive integer factors of 71345 that divides 71345 without a remainder.

1, 5, 19, 95, 751, 3755, 14269

Step-4: Factors of 71365

List of positive integer factors of 71365 that divides 71345 without a remainder.

1, 5, 7, 35, 2039, 10195, 14273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71345 and 71365. The biggest common factor number is the GCF number.
So the greatest common factor 71345 and 71365 is 5.

Also check out the Least Common Multiple of 71345 and 71365