What is the Greatest Common Factor of 22192 and 22208?

Greatest common factor (GCF) of 22192 and 22208 is 16.

GCF(22192,22208) = 16

We will now calculate the prime factors of 22192 and 22208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22192 and 22208.

How to find the GCF of 22192 and 22208?

We will first find the prime factorization of 22192 and 22208. After we will calculate the factors of 22192 and 22208 and find the biggest common factor number .

Step-1: Prime Factorization of 22192

Prime factors of 22192 are 2, 19, 73. Prime factorization of 22192 in exponential form is:

22192 = 2⁴ × 19¹ × 73¹

Step-2: Prime Factorization of 22208

Prime factors of 22208 are 2, 347. Prime factorization of 22208 in exponential form is:

22208 = 2⁶ × 347¹

Step-3: Factors of 22192

List of positive integer factors of 22192 that divides 22192 without a remainder.

1, 2, 4, 8, 16, 19, 38, 73, 76, 146, 152, 292, 304, 584, 1168, 1387, 2774, 5548, 11096

Step-4: Factors of 22208

List of positive integer factors of 22208 that divides 22192 without a remainder.

1, 2, 4, 8, 16, 32, 64, 347, 694, 1388, 2776, 5552, 11104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22192 and 22208. The biggest common factor number is the GCF number.
So the greatest common factor 22192 and 22208 is 16.

Also check out the Least Common Multiple of 22192 and 22208