What is the Greatest Common Factor of 62829 and 62842?

Greatest common factor (GCF) of 62829 and 62842 is 13.

GCF(62829,62842) = 13

We will now calculate the prime factors of 62829 and 62842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62829 and 62842.

How to find the GCF of 62829 and 62842?

We will first find the prime factorization of 62829 and 62842. After we will calculate the factors of 62829 and 62842 and find the biggest common factor number .

Step-1: Prime Factorization of 62829

Prime factors of 62829 are 3, 13, 179. Prime factorization of 62829 in exponential form is:

62829 = 3³ × 13¹ × 179¹

Step-2: Prime Factorization of 62842

Prime factors of 62842 are 2, 13, 2417. Prime factorization of 62842 in exponential form is:

62842 = 2¹ × 13¹ × 2417¹

Step-3: Factors of 62829

List of positive integer factors of 62829 that divides 62829 without a remainder.

1, 3, 9, 13, 27, 39, 117, 179, 351, 537, 1611, 2327, 4833, 6981, 20943

Step-4: Factors of 62842

List of positive integer factors of 62842 that divides 62829 without a remainder.

1, 2, 13, 26, 2417, 4834, 31421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62829 and 62842. The biggest common factor number is the GCF number.
So the greatest common factor 62829 and 62842 is 13.

Also check out the Least Common Multiple of 62829 and 62842