What is the Greatest Common Factor of 22814 and 22828?

Greatest common factor (GCF) of 22814 and 22828 is 2.

GCF(22814,22828) = 2

We will now calculate the prime factors of 22814 and 22828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22814 and 22828.

How to find the GCF of 22814 and 22828?

We will first find the prime factorization of 22814 and 22828. After we will calculate the factors of 22814 and 22828 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 22828

Prime factors of 22828 are 2, 13, 439. Prime factorization of 22828 in exponential form is:

22828 = 2² × 13¹ × 439¹

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 22828

List of positive integer factors of 22828 that divides 22814 without a remainder.

1, 2, 4, 13, 26, 52, 439, 878, 1756, 5707, 11414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22814 and 22828. The biggest common factor number is the GCF number.
So the greatest common factor 22814 and 22828 is 2.

Also check out the Least Common Multiple of 22814 and 22828