What is the Greatest Common Factor of 81432 and 81452?

Greatest common factor (GCF) of 81432 and 81452 is 4.

GCF(81432,81452) = 4

We will now calculate the prime factors of 81432 and 81452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81432 and 81452.

How to find the GCF of 81432 and 81452?

We will first find the prime factorization of 81432 and 81452. After we will calculate the factors of 81432 and 81452 and find the biggest common factor number .

Step-1: Prime Factorization of 81432

Prime factors of 81432 are 2, 3, 13, 29. Prime factorization of 81432 in exponential form is:

81432 = 2³ × 3³ × 13¹ × 29¹

Step-2: Prime Factorization of 81452

Prime factors of 81452 are 2, 7, 2909. Prime factorization of 81452 in exponential form is:

81452 = 2² × 7¹ × 2909¹

Step-3: Factors of 81432

List of positive integer factors of 81432 that divides 81432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 29, 36, 39, 52, 54, 58, 72, 78, 87, 104, 108, 116, 117, 156, 174, 216, 232, 234, 261, 312, 348, 351, 377, 468, 522, 696, 702, 754, 783, 936, 1044, 1131, 1404, 1508, 1566, 2088, 2262, 2808, 3016, 3132, 3393, 4524, 6264, 6786, 9048, 10179, 13572, 20358, 27144, 40716

Step-4: Factors of 81452

List of positive integer factors of 81452 that divides 81432 without a remainder.

1, 2, 4, 7, 14, 28, 2909, 5818, 11636, 20363, 40726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81432 and 81452. The biggest common factor number is the GCF number.
So the greatest common factor 81432 and 81452 is 4.

Also check out the Least Common Multiple of 81432 and 81452