What is the Greatest Common Factor of 71275 and 71289?

Greatest common factor (GCF) of 71275 and 71289 is 1.

GCF(71275,71289) = 1

We will now calculate the prime factors of 71275 and 71289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71275 and 71289.

How to find the GCF of 71275 and 71289?

We will first find the prime factorization of 71275 and 71289. After we will calculate the factors of 71275 and 71289 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 71289

Prime factors of 71289 are 3, 89. Prime factorization of 71289 in exponential form is:

71289 = 3² × 89²

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 71289

List of positive integer factors of 71289 that divides 71275 without a remainder.

1, 3, 9, 89, 267, 801, 7921, 23763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71275 and 71289. The biggest common factor number is the GCF number.
So the greatest common factor 71275 and 71289 is 1.

Also check out the Least Common Multiple of 71275 and 71289