What is the Greatest Common Factor of 71814 and 71829?

Greatest common factor (GCF) of 71814 and 71829 is 3.

GCF(71814,71829) = 3

We will now calculate the prime factors of 71814 and 71829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71814 and 71829.

How to find the GCF of 71814 and 71829?

We will first find the prime factorization of 71814 and 71829. After we will calculate the factors of 71814 and 71829 and find the biggest common factor number .

Step-1: Prime Factorization of 71814

Prime factors of 71814 are 2, 3, 11969. Prime factorization of 71814 in exponential form is:

71814 = 2¹ × 3¹ × 11969¹

Step-2: 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-3: Factors of 71814

List of positive integer factors of 71814 that divides 71814 without a remainder.

1, 2, 3, 6, 11969, 23938, 35907

Step-4: Factors of 71829

List of positive integer factors of 71829 that divides 71814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71814 and 71829. The biggest common factor number is the GCF number.
So the greatest common factor 71814 and 71829 is 3.

Also check out the Least Common Multiple of 71814 and 71829