What is the Greatest Common Factor of 22814 and 22832?

Greatest common factor (GCF) of 22814 and 22832 is 2.

GCF(22814,22832) = 2

We will now calculate the prime factors of 22814 and 22832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22814 and 22832.

How to find the GCF of 22814 and 22832?

We will first find the prime factorization of 22814 and 22832. After we will calculate the factors of 22814 and 22832 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 22832

Prime factors of 22832 are 2, 1427. Prime factorization of 22832 in exponential form is:

22832 = 2⁴ × 1427¹

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 22832

List of positive integer factors of 22832 that divides 22814 without a remainder.

1, 2, 4, 8, 16, 1427, 2854, 5708, 11416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22814 and 22832. The biggest common factor number is the GCF number.
So the greatest common factor 22814 and 22832 is 2.

Also check out the Least Common Multiple of 22814 and 22832