What is the Greatest Common Factor of 22284 and 22288?

Greatest common factor (GCF) of 22284 and 22288 is 4.

GCF(22284,22288) = 4

We will now calculate the prime factors of 22284 and 22288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22284 and 22288.

How to find the GCF of 22284 and 22288?

We will first find the prime factorization of 22284 and 22288. After we will calculate the factors of 22284 and 22288 and find the biggest common factor number .

Step-1: Prime Factorization of 22284

Prime factors of 22284 are 2, 3, 619. Prime factorization of 22284 in exponential form is:

22284 = 2² × 3² × 619¹

Step-2: Prime Factorization of 22288

Prime factors of 22288 are 2, 7, 199. Prime factorization of 22288 in exponential form is:

22288 = 2⁴ × 7¹ × 199¹

Step-3: Factors of 22284

List of positive integer factors of 22284 that divides 22284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 619, 1238, 1857, 2476, 3714, 5571, 7428, 11142

Step-4: Factors of 22288

List of positive integer factors of 22288 that divides 22284 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 199, 398, 796, 1393, 1592, 2786, 3184, 5572, 11144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22284 and 22288. The biggest common factor number is the GCF number.
So the greatest common factor 22284 and 22288 is 4.

Also check out the Least Common Multiple of 22284 and 22288