What is the Greatest Common Factor of 822 and 842?

Greatest common factor (GCF) of 822 and 842 is 2.

GCF(822,842) = 2

We will now calculate the prime factors of 822 and 842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 822 and 842.

How to find the GCF of 822 and 842?

We will first find the prime factorization of 822 and 842. After we will calculate the factors of 822 and 842 and find the biggest common factor number .

Step-1: Prime Factorization of 822

Prime factors of 822 are 2, 3, 137. Prime factorization of 822 in exponential form is:

822 = 2¹ × 3¹ × 137¹

Step-2: Prime Factorization of 842

Prime factors of 842 are 2, 421. Prime factorization of 842 in exponential form is:

842 = 2¹ × 421¹

Step-3: Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411

Step-4: Factors of 842

List of positive integer factors of 842 that divides 822 without a remainder.

1, 2, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 822 and 842. The biggest common factor number is the GCF number.
So the greatest common factor 822 and 842 is 2.

Also check out the Least Common Multiple of 822 and 842