What is the Greatest Common Factor of 22135 and 22154?

Greatest common factor (GCF) of 22135 and 22154 is 19.

GCF(22135,22154) = 19

We will now calculate the prime factors of 22135 and 22154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22135 and 22154.

How to find the GCF of 22135 and 22154?

We will first find the prime factorization of 22135 and 22154. After we will calculate the factors of 22135 and 22154 and find the biggest common factor number .

Step-1: Prime Factorization of 22135

Prime factors of 22135 are 5, 19, 233. Prime factorization of 22135 in exponential form is:

22135 = 5¹ × 19¹ × 233¹

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 22135

List of positive integer factors of 22135 that divides 22135 without a remainder.

1, 5, 19, 95, 233, 1165, 4427

Step-4: Factors of 22154

List of positive integer factors of 22154 that divides 22135 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 22135 and 22154. The biggest common factor number is the GCF number.
So the greatest common factor 22135 and 22154 is 19.

Also check out the Least Common Multiple of 22135 and 22154