What is the Greatest Common Factor of 11822 and 11830?

Greatest common factor (GCF) of 11822 and 11830 is 2.

GCF(11822,11830) = 2

We will now calculate the prime factors of 11822 and 11830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11822 and 11830.

How to find the GCF of 11822 and 11830?

We will first find the prime factorization of 11822 and 11830. After we will calculate the factors of 11822 and 11830 and find the biggest common factor number .

Step-1: Prime Factorization of 11822

Prime factors of 11822 are 2, 23, 257. Prime factorization of 11822 in exponential form is:

11822 = 2¹ × 23¹ × 257¹

Step-2: Prime Factorization of 11830

Prime factors of 11830 are 2, 5, 7, 13. Prime factorization of 11830 in exponential form is:

11830 = 2¹ × 5¹ × 7¹ × 13²

Step-3: Factors of 11822

List of positive integer factors of 11822 that divides 11822 without a remainder.

1, 2, 23, 46, 257, 514, 5911

Step-4: Factors of 11830

List of positive integer factors of 11830 that divides 11822 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 169, 182, 338, 455, 845, 910, 1183, 1690, 2366, 5915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11822 and 11830. The biggest common factor number is the GCF number.
So the greatest common factor 11822 and 11830 is 2.

Also check out the Least Common Multiple of 11822 and 11830