What is the Greatest Common Factor of 82923 and 82929?

Greatest common factor (GCF) of 82923 and 82929 is 3.

GCF(82923,82929) = 3

We will now calculate the prime factors of 82923 and 82929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82923 and 82929.

How to find the GCF of 82923 and 82929?

We will first find the prime factorization of 82923 and 82929. After we will calculate the factors of 82923 and 82929 and find the biggest common factor number .

Step-1: Prime Factorization of 82923

Prime factors of 82923 are 3, 131, 211. Prime factorization of 82923 in exponential form is:

82923 = 3¹ × 131¹ × 211¹

Step-2: Prime Factorization of 82929

Prime factors of 82929 are 3, 7, 11, 359. Prime factorization of 82929 in exponential form is:

82929 = 3¹ × 7¹ × 11¹ × 359¹

Step-3: Factors of 82923

List of positive integer factors of 82923 that divides 82923 without a remainder.

1, 3, 131, 211, 393, 633, 27641

Step-4: Factors of 82929

List of positive integer factors of 82929 that divides 82923 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 359, 1077, 2513, 3949, 7539, 11847, 27643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82923 and 82929. The biggest common factor number is the GCF number.
So the greatest common factor 82923 and 82929 is 3.

Also check out the Least Common Multiple of 82923 and 82929