What is the Greatest Common Factor of 32288 and 32292?

Greatest common factor (GCF) of 32288 and 32292 is 4.

GCF(32288,32292) = 4

We will now calculate the prime factors of 32288 and 32292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32288 and 32292.

How to find the GCF of 32288 and 32292?

We will first find the prime factorization of 32288 and 32292. After we will calculate the factors of 32288 and 32292 and find the biggest common factor number .

Step-1: Prime Factorization of 32288

Prime factors of 32288 are 2, 1009. Prime factorization of 32288 in exponential form is:

32288 = 2⁵ × 1009¹

Step-2: Prime Factorization of 32292

Prime factors of 32292 are 2, 3, 13, 23. Prime factorization of 32292 in exponential form is:

32292 = 2² × 3³ × 13¹ × 23¹

Step-3: Factors of 32288

List of positive integer factors of 32288 that divides 32288 without a remainder.

1, 2, 4, 8, 16, 32, 1009, 2018, 4036, 8072, 16144

Step-4: Factors of 32292

List of positive integer factors of 32292 that divides 32288 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 27, 36, 39, 46, 52, 54, 69, 78, 92, 108, 117, 138, 156, 207, 234, 276, 299, 351, 414, 468, 598, 621, 702, 828, 897, 1196, 1242, 1404, 1794, 2484, 2691, 3588, 5382, 8073, 10764, 16146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32288 and 32292. The biggest common factor number is the GCF number.
So the greatest common factor 32288 and 32292 is 4.

Also check out the Least Common Multiple of 32288 and 32292