What is the Greatest Common Factor of 43282 and 43299?

Greatest common factor (GCF) of 43282 and 43299 is 17.

GCF(43282,43299) = 17

We will now calculate the prime factors of 43282 and 43299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43282 and 43299.

How to find the GCF of 43282 and 43299?

We will first find the prime factorization of 43282 and 43299. After we will calculate the factors of 43282 and 43299 and find the biggest common factor number .

Step-1: Prime Factorization of 43282

Prime factors of 43282 are 2, 17, 19, 67. Prime factorization of 43282 in exponential form is:

43282 = 2¹ × 17¹ × 19¹ × 67¹

Step-2: Prime Factorization of 43299

Prime factors of 43299 are 3, 17, 283. Prime factorization of 43299 in exponential form is:

43299 = 3² × 17¹ × 283¹

Step-3: Factors of 43282

List of positive integer factors of 43282 that divides 43282 without a remainder.

1, 2, 17, 19, 34, 38, 67, 134, 323, 646, 1139, 1273, 2278, 2546, 21641

Step-4: Factors of 43299

List of positive integer factors of 43299 that divides 43282 without a remainder.

1, 3, 9, 17, 51, 153, 283, 849, 2547, 4811, 14433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43282 and 43299. The biggest common factor number is the GCF number.
So the greatest common factor 43282 and 43299 is 17.

Also check out the Least Common Multiple of 43282 and 43299