What is the Greatest Common Factor of 27812 and 27822?

Greatest common factor (GCF) of 27812 and 27822 is 2.

GCF(27812,27822) = 2

We will now calculate the prime factors of 27812 and 27822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27812 and 27822.

How to find the GCF of 27812 and 27822?

We will first find the prime factorization of 27812 and 27822. After we will calculate the factors of 27812 and 27822 and find the biggest common factor number .

Step-1: Prime Factorization of 27812

Prime factors of 27812 are 2, 17, 409. Prime factorization of 27812 in exponential form is:

27812 = 2² × 17¹ × 409¹

Step-2: Prime Factorization of 27822

Prime factors of 27822 are 2, 3, 4637. Prime factorization of 27822 in exponential form is:

27822 = 2¹ × 3¹ × 4637¹

Step-3: Factors of 27812

List of positive integer factors of 27812 that divides 27812 without a remainder.

1, 2, 4, 17, 34, 68, 409, 818, 1636, 6953, 13906

Step-4: Factors of 27822

List of positive integer factors of 27822 that divides 27812 without a remainder.

1, 2, 3, 6, 4637, 9274, 13911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27812 and 27822. The biggest common factor number is the GCF number.
So the greatest common factor 27812 and 27822 is 2.

Also check out the Least Common Multiple of 27812 and 27822