What is the Greatest Common Factor of 22134 and 22149?

Greatest common factor (GCF) of 22134 and 22149 is 3.

GCF(22134,22149) = 3

We will now calculate the prime factors of 22134 and 22149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22134 and 22149.

How to find the GCF of 22134 and 22149?

We will first find the prime factorization of 22134 and 22149. After we will calculate the factors of 22134 and 22149 and find the biggest common factor number .

Step-1: Prime Factorization of 22134

Prime factors of 22134 are 2, 3, 7, 17, 31. Prime factorization of 22134 in exponential form is:

22134 = 2¹ × 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 22149

Prime factors of 22149 are 3, 23, 107. Prime factorization of 22149 in exponential form is:

22149 = 3² × 23¹ × 107¹

Step-3: Factors of 22134

List of positive integer factors of 22134 that divides 22134 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 31, 34, 42, 51, 62, 93, 102, 119, 186, 217, 238, 357, 434, 527, 651, 714, 1054, 1302, 1581, 3162, 3689, 7378, 11067

Step-4: Factors of 22149

List of positive integer factors of 22149 that divides 22134 without a remainder.

1, 3, 9, 23, 69, 107, 207, 321, 963, 2461, 7383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22134 and 22149. The biggest common factor number is the GCF number.
So the greatest common factor 22134 and 22149 is 3.

Also check out the Least Common Multiple of 22134 and 22149