What is the Greatest Common Factor of 22184 and 22198?

Greatest common factor (GCF) of 22184 and 22198 is 2.

GCF(22184,22198) = 2

We will now calculate the prime factors of 22184 and 22198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22184 and 22198.

How to find the GCF of 22184 and 22198?

We will first find the prime factorization of 22184 and 22198. After we will calculate the factors of 22184 and 22198 and find the biggest common factor number .

Step-1: Prime Factorization of 22184

Prime factors of 22184 are 2, 47, 59. Prime factorization of 22184 in exponential form is:

22184 = 2³ × 47¹ × 59¹

Step-2: Prime Factorization of 22198

Prime factors of 22198 are 2, 11, 1009. Prime factorization of 22198 in exponential form is:

22198 = 2¹ × 11¹ × 1009¹

Step-3: Factors of 22184

List of positive integer factors of 22184 that divides 22184 without a remainder.

1, 2, 4, 8, 47, 59, 94, 118, 188, 236, 376, 472, 2773, 5546, 11092

Step-4: Factors of 22198

List of positive integer factors of 22198 that divides 22184 without a remainder.

1, 2, 11, 22, 1009, 2018, 11099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22184 and 22198. The biggest common factor number is the GCF number.
So the greatest common factor 22184 and 22198 is 2.

Also check out the Least Common Multiple of 22184 and 22198