What is the Greatest Common Factor of 43248 and 43266?

Greatest common factor (GCF) of 43248 and 43266 is 6.

GCF(43248,43266) = 6

We will now calculate the prime factors of 43248 and 43266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43266.

How to find the GCF of 43248 and 43266?

We will first find the prime factorization of 43248 and 43266. After we will calculate the factors of 43248 and 43266 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 43266

Prime factors of 43266 are 2, 3, 7211. Prime factorization of 43266 in exponential form is:

43266 = 2¹ × 3¹ × 7211¹

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 43266

List of positive integer factors of 43266 that divides 43248 without a remainder.

1, 2, 3, 6, 7211, 14422, 21633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43266. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43266 is 6.

Also check out the Least Common Multiple of 43248 and 43266