What is the Greatest Common Factor of 76816 and 76822?

Greatest common factor (GCF) of 76816 and 76822 is 2.

GCF(76816,76822) = 2

We will now calculate the prime factors of 76816 and 76822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76816 and 76822.

How to find the GCF of 76816 and 76822?

We will first find the prime factorization of 76816 and 76822. After we will calculate the factors of 76816 and 76822 and find the biggest common factor number .

Step-1: Prime Factorization of 76816

Prime factors of 76816 are 2, 4801. Prime factorization of 76816 in exponential form is:

76816 = 2⁴ × 4801¹

Step-2: Prime Factorization of 76822

Prime factors of 76822 are 2, 71, 541. Prime factorization of 76822 in exponential form is:

76822 = 2¹ × 71¹ × 541¹

Step-3: Factors of 76816

List of positive integer factors of 76816 that divides 76816 without a remainder.

1, 2, 4, 8, 16, 4801, 9602, 19204, 38408

Step-4: Factors of 76822

List of positive integer factors of 76822 that divides 76816 without a remainder.

1, 2, 71, 142, 541, 1082, 38411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76816 and 76822. The biggest common factor number is the GCF number.
So the greatest common factor 76816 and 76822 is 2.

Also check out the Least Common Multiple of 76816 and 76822