What is the Greatest Common Factor of 74823 and 74829?

Greatest common factor (GCF) of 74823 and 74829 is 3.

GCF(74823,74829) = 3

We will now calculate the prime factors of 74823 and 74829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74823 and 74829.

How to find the GCF of 74823 and 74829?

We will first find the prime factorization of 74823 and 74829. After we will calculate the factors of 74823 and 74829 and find the biggest common factor number .

Step-1: Prime Factorization of 74823

Prime factors of 74823 are 3, 7, 509. Prime factorization of 74823 in exponential form is:

74823 = 3¹ × 7² × 509¹

Step-2: Prime Factorization of 74829

Prime factors of 74829 are 3, 24943. Prime factorization of 74829 in exponential form is:

74829 = 3¹ × 24943¹

Step-3: Factors of 74823

List of positive integer factors of 74823 that divides 74823 without a remainder.

1, 3, 7, 21, 49, 147, 509, 1527, 3563, 10689, 24941

Step-4: Factors of 74829

List of positive integer factors of 74829 that divides 74823 without a remainder.

1, 3, 24943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74823 and 74829. The biggest common factor number is the GCF number.
So the greatest common factor 74823 and 74829 is 3.

Also check out the Least Common Multiple of 74823 and 74829