What is the Greatest Common Factor of 45792 and 45798?

Greatest common factor (GCF) of 45792 and 45798 is 6.

GCF(45792,45798) = 6

We will now calculate the prime factors of 45792 and 45798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45792 and 45798.

How to find the GCF of 45792 and 45798?

We will first find the prime factorization of 45792 and 45798. After we will calculate the factors of 45792 and 45798 and find the biggest common factor number .

Step-1: Prime Factorization of 45792

Prime factors of 45792 are 2, 3, 53. Prime factorization of 45792 in exponential form is:

45792 = 2⁵ × 3³ × 53¹

Step-2: Prime Factorization of 45798

Prime factors of 45798 are 2, 3, 17, 449. Prime factorization of 45798 in exponential form is:

45798 = 2¹ × 3¹ × 17¹ × 449¹

Step-3: Factors of 45792

List of positive integer factors of 45792 that divides 45792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 53, 54, 72, 96, 106, 108, 144, 159, 212, 216, 288, 318, 424, 432, 477, 636, 848, 864, 954, 1272, 1431, 1696, 1908, 2544, 2862, 3816, 5088, 5724, 7632, 11448, 15264, 22896

Step-4: Factors of 45798

List of positive integer factors of 45798 that divides 45792 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 449, 898, 1347, 2694, 7633, 15266, 22899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45792 and 45798. The biggest common factor number is the GCF number.
So the greatest common factor 45792 and 45798 is 6.

Also check out the Least Common Multiple of 45792 and 45798