What is the Greatest Common Factor of 71839 and 71858?

Greatest common factor (GCF) of 71839 and 71858 is 19.

GCF(71839,71858) = 19

We will now calculate the prime factors of 71839 and 71858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71839 and 71858.

How to find the GCF of 71839 and 71858?

We will first find the prime factorization of 71839 and 71858. After we will calculate the factors of 71839 and 71858 and find the biggest common factor number .

Step-1: Prime Factorization of 71839

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

71839 = 19² × 199¹

Step-2: Prime Factorization of 71858

Prime factors of 71858 are 2, 19, 31, 61. Prime factorization of 71858 in exponential form is:

71858 = 2¹ × 19¹ × 31¹ × 61¹

Step-3: Factors of 71839

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

1, 19, 199, 361, 3781

Step-4: Factors of 71858

List of positive integer factors of 71858 that divides 71839 without a remainder.

1, 2, 19, 31, 38, 61, 62, 122, 589, 1159, 1178, 1891, 2318, 3782, 35929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71839 and 71858. The biggest common factor number is the GCF number.
So the greatest common factor 71839 and 71858 is 19.

Also check out the Least Common Multiple of 71839 and 71858