What is the Greatest Common Factor of 22154 and 22172?

Greatest common factor (GCF) of 22154 and 22172 is 2.

GCF(22154,22172) = 2

We will now calculate the prime factors of 22154 and 22172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22154 and 22172.

How to find the GCF of 22154 and 22172?

We will first find the prime factorization of 22154 and 22172. After we will calculate the factors of 22154 and 22172 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 22172

Prime factors of 22172 are 2, 23, 241. Prime factorization of 22172 in exponential form is:

22172 = 2² × 23¹ × 241¹

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 22172

List of positive integer factors of 22172 that divides 22154 without a remainder.

1, 2, 4, 23, 46, 92, 241, 482, 964, 5543, 11086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22154 and 22172. The biggest common factor number is the GCF number.
So the greatest common factor 22154 and 22172 is 2.

Also check out the Least Common Multiple of 22154 and 22172