What is the Greatest Common Factor of 62816 and 62829?

Greatest common factor (GCF) of 62816 and 62829 is 13.

GCF(62816,62829) = 13

We will now calculate the prime factors of 62816 and 62829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62816 and 62829.

How to find the GCF of 62816 and 62829?

We will first find the prime factorization of 62816 and 62829. After we will calculate the factors of 62816 and 62829 and find the biggest common factor number .

Step-1: Prime Factorization of 62816

Prime factors of 62816 are 2, 13, 151. Prime factorization of 62816 in exponential form is:

62816 = 2⁵ × 13¹ × 151¹

Step-2: 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-3: Factors of 62816

List of positive integer factors of 62816 that divides 62816 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 151, 208, 302, 416, 604, 1208, 1963, 2416, 3926, 4832, 7852, 15704, 31408

Step-4: Factors of 62829

List of positive integer factors of 62829 that divides 62816 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62816 and 62829. The biggest common factor number is the GCF number.
So the greatest common factor 62816 and 62829 is 13.

Also check out the Least Common Multiple of 62816 and 62829