What is the Greatest Common Factor of 62814 and 62834?

Greatest common factor (GCF) of 62814 and 62834 is 2.

GCF(62814,62834) = 2

We will now calculate the prime factors of 62814 and 62834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62814 and 62834.

How to find the GCF of 62814 and 62834?

We will first find the prime factorization of 62814 and 62834. After we will calculate the factors of 62814 and 62834 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 62834

Prime factors of 62834 are 2, 89, 353. Prime factorization of 62834 in exponential form is:

62834 = 2¹ × 89¹ × 353¹

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 62834

List of positive integer factors of 62834 that divides 62814 without a remainder.

1, 2, 89, 178, 353, 706, 31417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62814 and 62834. The biggest common factor number is the GCF number.
So the greatest common factor 62814 and 62834 is 2.

Also check out the Least Common Multiple of 62814 and 62834