What is the Greatest Common Factor of 22288 and 22308?

Greatest common factor (GCF) of 22288 and 22308 is 4.

GCF(22288,22308) = 4

We will now calculate the prime factors of 22288 and 22308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22288 and 22308.

How to find the GCF of 22288 and 22308?

We will first find the prime factorization of 22288 and 22308. After we will calculate the factors of 22288 and 22308 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22308

Prime factors of 22308 are 2, 3, 11, 13. Prime factorization of 22308 in exponential form is:

22308 = 2² × 3¹ × 11¹ × 13²

Step-3: Factors of 22288

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

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

Step-4: Factors of 22308

List of positive integer factors of 22308 that divides 22288 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 169, 286, 338, 429, 507, 572, 676, 858, 1014, 1716, 1859, 2028, 3718, 5577, 7436, 11154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22288 and 22308. The biggest common factor number is the GCF number.
So the greatest common factor 22288 and 22308 is 4.

Also check out the Least Common Multiple of 22288 and 22308