What is the Greatest Common Factor of 43248 and 43254?

Greatest common factor (GCF) of 43248 and 43254 is 6.

GCF(43248,43254) = 6

We will now calculate the prime factors of 43248 and 43254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43254.

How to find the GCF of 43248 and 43254?

We will first find the prime factorization of 43248 and 43254. After we will calculate the factors of 43248 and 43254 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 43254

Prime factors of 43254 are 2, 3, 89. Prime factorization of 43254 in exponential form is:

43254 = 2¹ × 3⁵ × 89¹

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 43254

List of positive integer factors of 43254 that divides 43248 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 89, 162, 178, 243, 267, 486, 534, 801, 1602, 2403, 4806, 7209, 14418, 21627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43254. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43254 is 6.

Also check out the Least Common Multiple of 43248 and 43254