What is the Greatest Common Factor of 56816 and 56822?

Greatest common factor (GCF) of 56816 and 56822 is 2.

GCF(56816,56822) = 2

We will now calculate the prime factors of 56816 and 56822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56816 and 56822.

How to find the GCF of 56816 and 56822?

We will first find the prime factorization of 56816 and 56822. After we will calculate the factors of 56816 and 56822 and find the biggest common factor number .

Step-1: Prime Factorization of 56816

Prime factors of 56816 are 2, 53, 67. Prime factorization of 56816 in exponential form is:

56816 = 2⁴ × 53¹ × 67¹

Step-2: Prime Factorization of 56822

Prime factors of 56822 are 2, 28411. Prime factorization of 56822 in exponential form is:

56822 = 2¹ × 28411¹

Step-3: Factors of 56816

List of positive integer factors of 56816 that divides 56816 without a remainder.

1, 2, 4, 8, 16, 53, 67, 106, 134, 212, 268, 424, 536, 848, 1072, 3551, 7102, 14204, 28408

Step-4: Factors of 56822

List of positive integer factors of 56822 that divides 56816 without a remainder.

1, 2, 28411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56816 and 56822. The biggest common factor number is the GCF number.
So the greatest common factor 56816 and 56822 is 2.

Also check out the Least Common Multiple of 56816 and 56822