What is the Greatest Common Factor of 71829 and 71843?

Greatest common factor (GCF) of 71829 and 71843 is 1.

GCF(71829,71843) = 1

We will now calculate the prime factors of 71829 and 71843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71829 and 71843.

How to find the GCF of 71829 and 71843?

We will first find the prime factorization of 71829 and 71843. After we will calculate the factors of 71829 and 71843 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 71843

Prime factors of 71843 are 71843. Prime factorization of 71843 in exponential form is:

71843 = 71843¹

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 71843

List of positive integer factors of 71843 that divides 71829 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71829 and 71843. The biggest common factor number is the GCF number.
So the greatest common factor 71829 and 71843 is 1.

Also check out the Least Common Multiple of 71829 and 71843