What is the Greatest Common Factor of 43248 and 43258?

Greatest common factor (GCF) of 43248 and 43258 is 2.

GCF(43248,43258) = 2

We will now calculate the prime factors of 43248 and 43258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43258.

How to find the GCF of 43248 and 43258?

We will first find the prime factorization of 43248 and 43258. After we will calculate the factors of 43248 and 43258 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 43258

Prime factors of 43258 are 2, 43, 503. Prime factorization of 43258 in exponential form is:

43258 = 2¹ × 43¹ × 503¹

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 43258

List of positive integer factors of 43258 that divides 43248 without a remainder.

1, 2, 43, 86, 503, 1006, 21629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43258. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43258 is 2.

Also check out the Least Common Multiple of 43248 and 43258