What is the Greatest Common Factor of 22814 and 22831?

Greatest common factor (GCF) of 22814 and 22831 is 17.

GCF(22814,22831) = 17

We will now calculate the prime factors of 22814 and 22831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22814 and 22831.

How to find the GCF of 22814 and 22831?

We will first find the prime factorization of 22814 and 22831. After we will calculate the factors of 22814 and 22831 and find the biggest common factor number .

Step-1: Prime Factorization of 22814

Prime factors of 22814 are 2, 11, 17, 61. Prime factorization of 22814 in exponential form is:

22814 = 2¹ × 11¹ × 17¹ × 61¹

Step-2: Prime Factorization of 22831

Prime factors of 22831 are 17, 79. Prime factorization of 22831 in exponential form is:

22831 = 17² × 79¹

Step-3: Factors of 22814

List of positive integer factors of 22814 that divides 22814 without a remainder.

1, 2, 11, 17, 22, 34, 61, 122, 187, 374, 671, 1037, 1342, 2074, 11407

Step-4: Factors of 22831

List of positive integer factors of 22831 that divides 22814 without a remainder.

1, 17, 79, 289, 1343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22814 and 22831. The biggest common factor number is the GCF number.
So the greatest common factor 22814 and 22831 is 17.

Also check out the Least Common Multiple of 22814 and 22831