What is the Greatest Common Factor of 32292 and 32299?

Greatest common factor (GCF) of 32292 and 32299 is 1.

GCF(32292,32299) = 1

We will now calculate the prime factors of 32292 and 32299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32292 and 32299.

How to find the GCF of 32292 and 32299?

We will first find the prime factorization of 32292 and 32299. After we will calculate the factors of 32292 and 32299 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32299

Prime factors of 32299 are 32299. Prime factorization of 32299 in exponential form is:

32299 = 32299¹

Step-3: Factors of 32292

List of positive integer factors of 32292 that divides 32292 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

Step-4: Factors of 32299

List of positive integer factors of 32299 that divides 32292 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32292 and 32299. The biggest common factor number is the GCF number.
So the greatest common factor 32292 and 32299 is 1.

Also check out the Least Common Multiple of 32292 and 32299