What is the Greatest Common Factor of 94923 and 94929?

Greatest common factor (GCF) of 94923 and 94929 is 3.

GCF(94923,94929) = 3

We will now calculate the prime factors of 94923 and 94929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94923 and 94929.

How to find the GCF of 94923 and 94929?

We will first find the prime factorization of 94923 and 94929. After we will calculate the factors of 94923 and 94929 and find the biggest common factor number .

Step-1: Prime Factorization of 94923

Prime factors of 94923 are 3, 53, 199. Prime factorization of 94923 in exponential form is:

94923 = 3² × 53¹ × 199¹

Step-2: Prime Factorization of 94929

Prime factors of 94929 are 3, 31643. Prime factorization of 94929 in exponential form is:

94929 = 3¹ × 31643¹

Step-3: Factors of 94923

List of positive integer factors of 94923 that divides 94923 without a remainder.

1, 3, 9, 53, 159, 199, 477, 597, 1791, 10547, 31641

Step-4: Factors of 94929

List of positive integer factors of 94929 that divides 94923 without a remainder.

1, 3, 31643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94923 and 94929. The biggest common factor number is the GCF number.
So the greatest common factor 94923 and 94929 is 3.

Also check out the Least Common Multiple of 94923 and 94929