What is the Greatest Common Factor of 41822 and 41833?

Greatest common factor (GCF) of 41822 and 41833 is 11.

GCF(41822,41833) = 11

We will now calculate the prime factors of 41822 and 41833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41822 and 41833.

How to find the GCF of 41822 and 41833?

We will first find the prime factorization of 41822 and 41833. After we will calculate the factors of 41822 and 41833 and find the biggest common factor number .

Step-1: Prime Factorization of 41822

Prime factors of 41822 are 2, 11, 1901. Prime factorization of 41822 in exponential form is:

41822 = 2¹ × 11¹ × 1901¹

Step-2: Prime Factorization of 41833

Prime factors of 41833 are 11, 3803. Prime factorization of 41833 in exponential form is:

41833 = 11¹ × 3803¹

Step-3: Factors of 41822

List of positive integer factors of 41822 that divides 41822 without a remainder.

1, 2, 11, 22, 1901, 3802, 20911

Step-4: Factors of 41833

List of positive integer factors of 41833 that divides 41822 without a remainder.

1, 11, 3803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41822 and 41833. The biggest common factor number is the GCF number.
So the greatest common factor 41822 and 41833 is 11.

Also check out the Least Common Multiple of 41822 and 41833