What is the Greatest Common Factor of 71275 and 71290?

Greatest common factor (GCF) of 71275 and 71290 is 5.

GCF(71275,71290) = 5

We will now calculate the prime factors of 71275 and 71290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71275 and 71290.

How to find the GCF of 71275 and 71290?

We will first find the prime factorization of 71275 and 71290. After we will calculate the factors of 71275 and 71290 and find the biggest common factor number .

Step-1: Prime Factorization of 71275

Prime factors of 71275 are 5, 2851. Prime factorization of 71275 in exponential form is:

71275 = 5² × 2851¹

Step-2: Prime Factorization of 71290

Prime factors of 71290 are 2, 5, 7129. Prime factorization of 71290 in exponential form is:

71290 = 2¹ × 5¹ × 7129¹

Step-3: Factors of 71275

List of positive integer factors of 71275 that divides 71275 without a remainder.

1, 5, 25, 2851, 14255

Step-4: Factors of 71290

List of positive integer factors of 71290 that divides 71275 without a remainder.

1, 2, 5, 10, 7129, 14258, 35645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71275 and 71290. The biggest common factor number is the GCF number.
So the greatest common factor 71275 and 71290 is 5.

Also check out the Least Common Multiple of 71275 and 71290