What is the Greatest Common Factor of 62812 and 62816?

Greatest common factor (GCF) of 62812 and 62816 is 4.

GCF(62812,62816) = 4

We will now calculate the prime factors of 62812 and 62816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62812 and 62816.

How to find the GCF of 62812 and 62816?

We will first find the prime factorization of 62812 and 62816. After we will calculate the factors of 62812 and 62816 and find the biggest common factor number .

Step-1: Prime Factorization of 62812

Prime factors of 62812 are 2, 41, 383. Prime factorization of 62812 in exponential form is:

62812 = 2² × 41¹ × 383¹

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 62812

List of positive integer factors of 62812 that divides 62812 without a remainder.

1, 2, 4, 41, 82, 164, 383, 766, 1532, 15703, 31406

Step-4: Factors of 62816

List of positive integer factors of 62816 that divides 62812 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 62812 and 62816. The biggest common factor number is the GCF number.
So the greatest common factor 62812 and 62816 is 4.

Also check out the Least Common Multiple of 62812 and 62816