What is the Greatest Common Factor of 22138 and 22154?

Greatest common factor (GCF) of 22138 and 22154 is 2.

GCF(22138,22154) = 2

We will now calculate the prime factors of 22138 and 22154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22138 and 22154.

How to find the GCF of 22138 and 22154?

We will first find the prime factorization of 22138 and 22154. After we will calculate the factors of 22138 and 22154 and find the biggest common factor number .

Step-1: Prime Factorization of 22138

Prime factors of 22138 are 2, 11069. Prime factorization of 22138 in exponential form is:

22138 = 2¹ × 11069¹

Step-2: 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-3: Factors of 22138

List of positive integer factors of 22138 that divides 22138 without a remainder.

1, 2, 11069

Step-4: Factors of 22154

List of positive integer factors of 22154 that divides 22138 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22138 and 22154. The biggest common factor number is the GCF number.
So the greatest common factor 22138 and 22154 is 2.

Also check out the Least Common Multiple of 22138 and 22154