What is the Greatest Common Factor of 71825 and 71831?

Greatest common factor (GCF) of 71825 and 71831 is 1.

GCF(71825,71831) = 1

We will now calculate the prime factors of 71825 and 71831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71825 and 71831.

How to find the GCF of 71825 and 71831?

We will first find the prime factorization of 71825 and 71831. After we will calculate the factors of 71825 and 71831 and find the biggest common factor number .

Step-1: Prime Factorization of 71825

Prime factors of 71825 are 5, 13, 17. Prime factorization of 71825 in exponential form is:

71825 = 5² × 13² × 17¹

Step-2: Prime Factorization of 71831

Prime factors of 71831 are 109, 659. Prime factorization of 71831 in exponential form is:

71831 = 109¹ × 659¹

Step-3: Factors of 71825

List of positive integer factors of 71825 that divides 71825 without a remainder.

1, 5, 13, 17, 25, 65, 85, 169, 221, 325, 425, 845, 1105, 2873, 4225, 5525, 14365

Step-4: Factors of 71831

List of positive integer factors of 71831 that divides 71825 without a remainder.

1, 109, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71825 and 71831. The biggest common factor number is the GCF number.
So the greatest common factor 71825 and 71831 is 1.

Also check out the Least Common Multiple of 71825 and 71831