What is the Greatest Common Factor of 71829 and 71846?

Greatest common factor (GCF) of 71829 and 71846 is 1.

GCF(71829,71846) = 1

We will now calculate the prime factors of 71829 and 71846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71829 and 71846.

How to find the GCF of 71829 and 71846?

We will first find the prime factorization of 71829 and 71846. After we will calculate the factors of 71829 and 71846 and find the biggest common factor number .

Step-1: Prime Factorization of 71829

Prime factors of 71829 are 3, 23, 347. Prime factorization of 71829 in exponential form is:

71829 = 3² × 23¹ × 347¹

Step-2: Prime Factorization of 71846

Prime factors of 71846 are 2, 35923. Prime factorization of 71846 in exponential form is:

71846 = 2¹ × 35923¹

Step-3: Factors of 71829

List of positive integer factors of 71829 that divides 71829 without a remainder.

1, 3, 9, 23, 69, 207, 347, 1041, 3123, 7981, 23943

Step-4: Factors of 71846

List of positive integer factors of 71846 that divides 71829 without a remainder.

1, 2, 35923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71829 and 71846. The biggest common factor number is the GCF number.
So the greatest common factor 71829 and 71846 is 1.

Also check out the Least Common Multiple of 71829 and 71846