What is the Greatest Common Factor of 71825 and 71839?

Greatest common factor (GCF) of 71825 and 71839 is 1.

GCF(71825,71839) = 1

We will now calculate the prime factors of 71825 and 71839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71825 and 71839.

How to find the GCF of 71825 and 71839?

We will first find the prime factorization of 71825 and 71839. After we will calculate the factors of 71825 and 71839 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 71839

Prime factors of 71839 are 19, 199. Prime factorization of 71839 in exponential form is:

71839 = 19² × 199¹

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 71839

List of positive integer factors of 71839 that divides 71825 without a remainder.

1, 19, 199, 361, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71825 and 71839. The biggest common factor number is the GCF number.
So the greatest common factor 71825 and 71839 is 1.

Also check out the Least Common Multiple of 71825 and 71839