What is the Greatest Common Factor of 828 and 842?

Greatest common factor (GCF) of 828 and 842 is 2.

GCF(828,842) = 2

We will now calculate the prime factors of 828 and 842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 828 and 842.

How to find the GCF of 828 and 842?

We will first find the prime factorization of 828 and 842. After we will calculate the factors of 828 and 842 and find the biggest common factor number .

Step-1: Prime Factorization of 828

Prime factors of 828 are 2, 3, 23. Prime factorization of 828 in exponential form is:

828 = 2² × 3² × 23¹

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 828

List of positive integer factors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414

Step-4: Factors of 842

List of positive integer factors of 842 that divides 828 without a remainder.

1, 2, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 828 and 842. The biggest common factor number is the GCF number.
So the greatest common factor 828 and 842 is 2.

Also check out the Least Common Multiple of 828 and 842