What is the Greatest Common Factor of 71165 and 71175?

Greatest common factor (GCF) of 71165 and 71175 is 5.

GCF(71165,71175) = 5

We will now calculate the prime factors of 71165 and 71175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71165 and 71175.

How to find the GCF of 71165 and 71175?

We will first find the prime factorization of 71165 and 71175. After we will calculate the factors of 71165 and 71175 and find the biggest common factor number .

Step-1: Prime Factorization of 71165

Prime factors of 71165 are 5, 43, 331. Prime factorization of 71165 in exponential form is:

71165 = 5¹ × 43¹ × 331¹

Step-2: Prime Factorization of 71175

Prime factors of 71175 are 3, 5, 13, 73. Prime factorization of 71175 in exponential form is:

71175 = 3¹ × 5² × 13¹ × 73¹

Step-3: Factors of 71165

List of positive integer factors of 71165 that divides 71165 without a remainder.

1, 5, 43, 215, 331, 1655, 14233

Step-4: Factors of 71175

List of positive integer factors of 71175 that divides 71165 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 73, 75, 195, 219, 325, 365, 949, 975, 1095, 1825, 2847, 4745, 5475, 14235, 23725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71165 and 71175. The biggest common factor number is the GCF number.
So the greatest common factor 71165 and 71175 is 5.

Also check out the Least Common Multiple of 71165 and 71175