What is the Greatest Common Factor of 22117 and 22134?

Greatest common factor (GCF) of 22117 and 22134 is 17.

GCF(22117,22134) = 17

We will now calculate the prime factors of 22117 and 22134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22117 and 22134.

How to find the GCF of 22117 and 22134?

We will first find the prime factorization of 22117 and 22134. After we will calculate the factors of 22117 and 22134 and find the biggest common factor number .

Step-1: Prime Factorization of 22117

Prime factors of 22117 are 17, 1301. Prime factorization of 22117 in exponential form is:

22117 = 17¹ × 1301¹

Step-2: 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-3: Factors of 22117

List of positive integer factors of 22117 that divides 22117 without a remainder.

1, 17, 1301

Step-4: Factors of 22134

List of positive integer factors of 22134 that divides 22117 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22117 and 22134. The biggest common factor number is the GCF number.
So the greatest common factor 22117 and 22134 is 17.

Also check out the Least Common Multiple of 22117 and 22134