What is the Greatest Common Factor of 43248 and 43256?

Greatest common factor (GCF) of 43248 and 43256 is 8.

GCF(43248,43256) = 8

We will now calculate the prime factors of 43248 and 43256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43256.

How to find the GCF of 43248 and 43256?

We will first find the prime factorization of 43248 and 43256. After we will calculate the factors of 43248 and 43256 and find the biggest common factor number .

Step-1: Prime Factorization of 43248

Prime factors of 43248 are 2, 3, 17, 53. Prime factorization of 43248 in exponential form is:

43248 = 2⁴ × 3¹ × 17¹ × 53¹

Step-2: Prime Factorization of 43256

Prime factors of 43256 are 2, 5407. Prime factorization of 43256 in exponential form is:

43256 = 2³ × 5407¹

Step-3: Factors of 43248

List of positive integer factors of 43248 that divides 43248 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 53, 68, 102, 106, 136, 159, 204, 212, 272, 318, 408, 424, 636, 816, 848, 901, 1272, 1802, 2544, 2703, 3604, 5406, 7208, 10812, 14416, 21624

Step-4: Factors of 43256

List of positive integer factors of 43256 that divides 43248 without a remainder.

1, 2, 4, 8, 5407, 10814, 21628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43256. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43256 is 8.

Also check out the Least Common Multiple of 43248 and 43256