What is the Greatest Common Factor of 43248 and 43252?

Greatest common factor (GCF) of 43248 and 43252 is 4.

GCF(43248,43252) = 4

We will now calculate the prime factors of 43248 and 43252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43248 and 43252.

How to find the GCF of 43248 and 43252?

We will first find the prime factorization of 43248 and 43252. After we will calculate the factors of 43248 and 43252 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 43252

Prime factors of 43252 are 2, 11, 983. Prime factorization of 43252 in exponential form is:

43252 = 2² × 11¹ × 983¹

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 43252

List of positive integer factors of 43252 that divides 43248 without a remainder.

1, 2, 4, 11, 22, 44, 983, 1966, 3932, 10813, 21626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43248 and 43252. The biggest common factor number is the GCF number.
So the greatest common factor 43248 and 43252 is 4.

Also check out the Least Common Multiple of 43248 and 43252