What is the Greatest Common Factor of 71834 and 71848?

Greatest common factor (GCF) of 71834 and 71848 is 14.

GCF(71834,71848) = 14

We will now calculate the prime factors of 71834 and 71848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71834 and 71848.

How to find the GCF of 71834 and 71848?

We will first find the prime factorization of 71834 and 71848. After we will calculate the factors of 71834 and 71848 and find the biggest common factor number .

Step-1: Prime Factorization of 71834

Prime factors of 71834 are 2, 7, 733. Prime factorization of 71834 in exponential form is:

71834 = 2¹ × 7² × 733¹

Step-2: Prime Factorization of 71848

Prime factors of 71848 are 2, 7, 1283. Prime factorization of 71848 in exponential form is:

71848 = 2³ × 7¹ × 1283¹

Step-3: Factors of 71834

List of positive integer factors of 71834 that divides 71834 without a remainder.

1, 2, 7, 14, 49, 98, 733, 1466, 5131, 10262, 35917

Step-4: Factors of 71848

List of positive integer factors of 71848 that divides 71834 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1283, 2566, 5132, 8981, 10264, 17962, 35924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71834 and 71848. The biggest common factor number is the GCF number.
So the greatest common factor 71834 and 71848 is 14.

Also check out the Least Common Multiple of 71834 and 71848