What is the Greatest Common Factor of 62816 and 62821?

Greatest common factor (GCF) of 62816 and 62821 is 1.

GCF(62816,62821) = 1

We will now calculate the prime factors of 62816 and 62821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62816 and 62821.

How to find the GCF of 62816 and 62821?

We will first find the prime factorization of 62816 and 62821. After we will calculate the factors of 62816 and 62821 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 62821

Prime factors of 62821 are 11, 5711. Prime factorization of 62821 in exponential form is:

62821 = 11¹ × 5711¹

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 62821

List of positive integer factors of 62821 that divides 62816 without a remainder.

1, 11, 5711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62816 and 62821. The biggest common factor number is the GCF number.
So the greatest common factor 62816 and 62821 is 1.

Also check out the Least Common Multiple of 62816 and 62821