What is the Greatest Common Factor of 22154 and 22165?

Greatest common factor (GCF) of 22154 and 22165 is 11.

GCF(22154,22165) = 11

We will now calculate the prime factors of 22154 and 22165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22154 and 22165.

How to find the GCF of 22154 and 22165?

We will first find the prime factorization of 22154 and 22165. After we will calculate the factors of 22154 and 22165 and find the biggest common factor number .

Step-1: Prime Factorization of 22154

Prime factors of 22154 are 2, 11, 19, 53. Prime factorization of 22154 in exponential form is:

22154 = 2¹ × 11¹ × 19¹ × 53¹

Step-2: Prime Factorization of 22165

Prime factors of 22165 are 5, 11, 13, 31. Prime factorization of 22165 in exponential form is:

22165 = 5¹ × 11¹ × 13¹ × 31¹

Step-3: Factors of 22154

List of positive integer factors of 22154 that divides 22154 without a remainder.

1, 2, 11, 19, 22, 38, 53, 106, 209, 418, 583, 1007, 1166, 2014, 11077

Step-4: Factors of 22165

List of positive integer factors of 22165 that divides 22154 without a remainder.

1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22154 and 22165. The biggest common factor number is the GCF number.
So the greatest common factor 22154 and 22165 is 11.

Also check out the Least Common Multiple of 22154 and 22165