What is the Greatest Common Factor of 74814 and 74823?

Greatest common factor (GCF) of 74814 and 74823 is 3.

GCF(74814,74823) = 3

We will now calculate the prime factors of 74814 and 74823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74814 and 74823.

How to find the GCF of 74814 and 74823?

We will first find the prime factorization of 74814 and 74823. After we will calculate the factors of 74814 and 74823 and find the biggest common factor number .

Step-1: Prime Factorization of 74814

Prime factors of 74814 are 2, 3, 37, 337. Prime factorization of 74814 in exponential form is:

74814 = 2¹ × 3¹ × 37¹ × 337¹

Step-2: 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-3: Factors of 74814

List of positive integer factors of 74814 that divides 74814 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 337, 674, 1011, 2022, 12469, 24938, 37407

Step-4: Factors of 74823

List of positive integer factors of 74823 that divides 74814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74814 and 74823. The biggest common factor number is the GCF number.
So the greatest common factor 74814 and 74823 is 3.

Also check out the Least Common Multiple of 74814 and 74823