What is the Greatest Common Factor of 45792 and 45810?

Greatest common factor (GCF) of 45792 and 45810 is 18.

GCF(45792,45810) = 18

We will now calculate the prime factors of 45792 and 45810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45792 and 45810.

How to find the GCF of 45792 and 45810?

We will first find the prime factorization of 45792 and 45810. After we will calculate the factors of 45792 and 45810 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 45810

Prime factors of 45810 are 2, 3, 5, 509. Prime factorization of 45810 in exponential form is:

45810 = 2¹ × 3² × 5¹ × 509¹

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 45810

List of positive integer factors of 45810 that divides 45792 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 509, 1018, 1527, 2545, 3054, 4581, 5090, 7635, 9162, 15270, 22905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45792 and 45810. The biggest common factor number is the GCF number.
So the greatest common factor 45792 and 45810 is 18.

Also check out the Least Common Multiple of 45792 and 45810