What is the Greatest Common Factor of 22154 and 22159?

Greatest common factor (GCF) of 22154 and 22159 is 1.

GCF(22154,22159) = 1

We will now calculate the prime factors of 22154 and 22159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22154 and 22159.

How to find the GCF of 22154 and 22159?

We will first find the prime factorization of 22154 and 22159. After we will calculate the factors of 22154 and 22159 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 22159

Prime factors of 22159 are 22159. Prime factorization of 22159 in exponential form is:

22159 = 22159¹

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 22159

List of positive integer factors of 22159 that divides 22154 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22154 and 22159. The biggest common factor number is the GCF number.
So the greatest common factor 22154 and 22159 is 1.

Also check out the Least Common Multiple of 22154 and 22159