What is the Greatest Common Factor of 8822 and 8833?

Greatest common factor (GCF) of 8822 and 8833 is 11.

GCF(8822,8833) = 11

We will now calculate the prime factors of 8822 and 8833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8822 and 8833.

How to find the GCF of 8822 and 8833?

We will first find the prime factorization of 8822 and 8833. After we will calculate the factors of 8822 and 8833 and find the biggest common factor number .

Step-1: Prime Factorization of 8822

Prime factors of 8822 are 2, 11, 401. Prime factorization of 8822 in exponential form is:

8822 = 2¹ × 11¹ × 401¹

Step-2: Prime Factorization of 8833

Prime factors of 8833 are 11, 73. Prime factorization of 8833 in exponential form is:

8833 = 11² × 73¹

Step-3: Factors of 8822

List of positive integer factors of 8822 that divides 8822 without a remainder.

1, 2, 11, 22, 401, 802, 4411

Step-4: Factors of 8833

List of positive integer factors of 8833 that divides 8822 without a remainder.

1, 11, 73, 121, 803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8822 and 8833. The biggest common factor number is the GCF number.
So the greatest common factor 8822 and 8833 is 11.

Also check out the Least Common Multiple of 8822 and 8833