What is the Greatest Common Factor of 62814 and 62823?

Greatest common factor (GCF) of 62814 and 62823 is 3.

GCF(62814,62823) = 3

We will now calculate the prime factors of 62814 and 62823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62814 and 62823.

How to find the GCF of 62814 and 62823?

We will first find the prime factorization of 62814 and 62823. After we will calculate the factors of 62814 and 62823 and find the biggest common factor number .

Step-1: Prime Factorization of 62814

Prime factors of 62814 are 2, 3, 19, 29. Prime factorization of 62814 in exponential form is:

62814 = 2¹ × 3¹ × 19² × 29¹

Step-2: Prime Factorization of 62823

Prime factors of 62823 are 3, 43, 487. Prime factorization of 62823 in exponential form is:

62823 = 3¹ × 43¹ × 487¹

Step-3: Factors of 62814

List of positive integer factors of 62814 that divides 62814 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 361, 551, 722, 1083, 1102, 1653, 2166, 3306, 10469, 20938, 31407

Step-4: Factors of 62823

List of positive integer factors of 62823 that divides 62814 without a remainder.

1, 3, 43, 129, 487, 1461, 20941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62814 and 62823. The biggest common factor number is the GCF number.
So the greatest common factor 62814 and 62823 is 3.

Also check out the Least Common Multiple of 62814 and 62823