What is the Greatest Common Factor of 62814 and 62833?

Greatest common factor (GCF) of 62814 and 62833 is 19.

GCF(62814,62833) = 19

We will now calculate the prime factors of 62814 and 62833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62814 and 62833.

How to find the GCF of 62814 and 62833?

We will first find the prime factorization of 62814 and 62833. After we will calculate the factors of 62814 and 62833 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 62833

Prime factors of 62833 are 19, 3307. Prime factorization of 62833 in exponential form is:

62833 = 19¹ × 3307¹

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 62833

List of positive integer factors of 62833 that divides 62814 without a remainder.

1, 19, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62814 and 62833. The biggest common factor number is the GCF number.
So the greatest common factor 62814 and 62833 is 19.

Also check out the Least Common Multiple of 62814 and 62833