What is the Greatest Common Factor of 22151 and 22168?

Greatest common factor (GCF) of 22151 and 22168 is 17.

GCF(22151,22168) = 17

We will now calculate the prime factors of 22151 and 22168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22151 and 22168.

How to find the GCF of 22151 and 22168?

We will first find the prime factorization of 22151 and 22168. After we will calculate the factors of 22151 and 22168 and find the biggest common factor number .

Step-1: Prime Factorization of 22151

Prime factors of 22151 are 17, 1303. Prime factorization of 22151 in exponential form is:

22151 = 17¹ × 1303¹

Step-2: Prime Factorization of 22168

Prime factors of 22168 are 2, 17, 163. Prime factorization of 22168 in exponential form is:

22168 = 2³ × 17¹ × 163¹

Step-3: Factors of 22151

List of positive integer factors of 22151 that divides 22151 without a remainder.

1, 17, 1303

Step-4: Factors of 22168

List of positive integer factors of 22168 that divides 22151 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 163, 326, 652, 1304, 2771, 5542, 11084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22151 and 22168. The biggest common factor number is the GCF number.
So the greatest common factor 22151 and 22168 is 17.

Also check out the Least Common Multiple of 22151 and 22168