What is the Greatest Common Factor of 62803 and 62816?

Greatest common factor (GCF) of 62803 and 62816 is 13.

GCF(62803,62816) = 13

We will now calculate the prime factors of 62803 and 62816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62803 and 62816.

How to find the GCF of 62803 and 62816?

We will first find the prime factorization of 62803 and 62816. After we will calculate the factors of 62803 and 62816 and find the biggest common factor number .

Step-1: Prime Factorization of 62803

Prime factors of 62803 are 13, 4831. Prime factorization of 62803 in exponential form is:

62803 = 13¹ × 4831¹

Step-2: 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-3: Factors of 62803

List of positive integer factors of 62803 that divides 62803 without a remainder.

1, 13, 4831

Step-4: Factors of 62816

List of positive integer factors of 62816 that divides 62803 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62803 and 62816. The biggest common factor number is the GCF number.
So the greatest common factor 62803 and 62816 is 13.

Also check out the Least Common Multiple of 62803 and 62816